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Finding the Third Proportional to 42,698 and 62,942

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Solution

The third proportional to 42,698 and 62,942 is: 92,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,698 : 62,942 = 62,942 : x
  2. Step 2: Convert to fraction form
    42,698/62,942 = 62,942/x
  3. Step 3: Cross multiply
    42,698x = 62,942 × 62,942
  4. Step 4: Simplify right side
    42,698x = 3,961,695,364
  5. Step 5: Solve for x
    x = 3,961,695,364/42,698
  6. Step 6: Final answer
    x = 92,784.10

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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.