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Finding the Third Proportional to 42,699 and 62,943

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Solution

The third proportional to 42,699 and 62,943 is: 92,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,699 : 62,943 = 62,943 : x
  2. Step 2: Convert to fraction form
    42,699/62,943 = 62,943/x
  3. Step 3: Cross multiply
    42,699x = 62,943 × 62,943
  4. Step 4: Simplify right side
    42,699x = 3,961,821,249
  5. Step 5: Solve for x
    x = 3,961,821,249/42,699
  6. Step 6: Final answer
    x = 92,784.87

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Why These Related Problems?

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