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Finding the Third Proportional to 22,220.50 and 31,251.75

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Solution

The third proportional to 22,220.50 and 31,251.75 is: 43,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,220.50 : 31,251.75 = 31,251.75 : x
  2. Step 2: Convert to fraction form
    22,220.50/31,251.75 = 31,251.75/x
  3. Step 3: Cross multiply
    22,220.50x = 31,251.75 × 31,251.75
  4. Step 4: Simplify right side
    22,220.50x = 976,671,878.06
  5. Step 5: Solve for x
    x = 976,671,878.06/22,220.50
  6. Step 6: Final answer
    x = 43,953.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.