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Finding the Third Proportional to 42,382 and 63,528

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Solution

The third proportional to 42,382 and 63,528 is: 95,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382 : 63,528 = 63,528 : x
  2. Step 2: Convert to fraction form
    42,382/63,528 = 63,528/x
  3. Step 3: Cross multiply
    42,382x = 63,528 × 63,528
  4. Step 4: Simplify right side
    42,382x = 4,035,806,784
  5. Step 5: Solve for x
    x = 4,035,806,784/42,382
  6. Step 6: Final answer
    x = 95,224.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.