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Finding the Third Proportional to 42,693 and 62,935.50

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Solution

The third proportional to 42,693 and 62,935.50 is: 92,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,693 : 62,935.50 = 62,935.50 : x
  2. Step 2: Convert to fraction form
    42,693/62,935.50 = 62,935.50/x
  3. Step 3: Cross multiply
    42,693x = 62,935.50 × 62,935.50
  4. Step 4: Simplify right side
    42,693x = 3,960,877,160.25
  5. Step 5: Solve for x
    x = 3,960,877,160.25/42,693
  6. Step 6: Final answer
    x = 92,775.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.