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Finding the Third Proportional to 20,217.94 and 42,531.75

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Solution

The third proportional to 20,217.94 and 42,531.75 is: 89,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.94 : 42,531.75 = 42,531.75 : x
  2. Step 2: Convert to fraction form
    20,217.94/42,531.75 = 42,531.75/x
  3. Step 3: Cross multiply
    20,217.94x = 42,531.75 × 42,531.75
  4. Step 4: Simplify right side
    20,217.94x = 1,808,949,758.06
  5. Step 5: Solve for x
    x = 1,808,949,758.06/20,217.94
  6. Step 6: Final answer
    x = 89,472.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.