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Finding the Third Proportional to 42,949 and 62,557

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Solution

The third proportional to 42,949 and 62,557 is: 91,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,949 : 62,557 = 62,557 : x
  2. Step 2: Convert to fraction form
    42,949/62,557 = 62,557/x
  3. Step 3: Cross multiply
    42,949x = 62,557 × 62,557
  4. Step 4: Simplify right side
    42,949x = 3,913,378,249
  5. Step 5: Solve for x
    x = 3,913,378,249/42,949
  6. Step 6: Final answer
    x = 91,116.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.