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Finding the Third Proportional to 22,120.59 and 52,199.44

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Solution

The third proportional to 22,120.59 and 52,199.44 is: 123,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120.59 : 52,199.44 = 52,199.44 : x
  2. Step 2: Convert to fraction form
    22,120.59/52,199.44 = 52,199.44/x
  3. Step 3: Cross multiply
    22,120.59x = 52,199.44 × 52,199.44
  4. Step 4: Simplify right side
    22,120.59x = 2,724,781,275.32
  5. Step 5: Solve for x
    x = 2,724,781,275.32/22,120.59
  6. Step 6: Final answer
    x = 123,178.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.