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Finding the Third Proportional to 24,311.39 and 52,776.56

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Solution

The third proportional to 24,311.39 and 52,776.56 is: 114,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.39 : 52,776.56 = 52,776.56 : x
  2. Step 2: Convert to fraction form
    24,311.39/52,776.56 = 52,776.56/x
  3. Step 3: Cross multiply
    24,311.39x = 52,776.56 × 52,776.56
  4. Step 4: Simplify right side
    24,311.39x = 2,785,365,549.32
  5. Step 5: Solve for x
    x = 2,785,365,549.32/24,311.39
  6. Step 6: Final answer
    x = 114,570.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.