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Finding the Third Proportional to 42,012 and 62,937

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Solution

The third proportional to 42,012 and 62,937 is: 94,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012 : 62,937 = 62,937 : x
  2. Step 2: Convert to fraction form
    42,012/62,937 = 62,937/x
  3. Step 3: Cross multiply
    42,012x = 62,937 × 62,937
  4. Step 4: Simplify right side
    42,012x = 3,961,065,969
  5. Step 5: Solve for x
    x = 3,961,065,969/42,012
  6. Step 6: Final answer
    x = 94,284.16

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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.