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Finding the Third Proportional to 39,396 and 58,957

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Solution

The third proportional to 39,396 and 58,957 is: 88,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,396 : 58,957 = 58,957 : x
  2. Step 2: Convert to fraction form
    39,396/58,957 = 58,957/x
  3. Step 3: Cross multiply
    39,396x = 58,957 × 58,957
  4. Step 4: Simplify right side
    39,396x = 3,475,927,849
  5. Step 5: Solve for x
    x = 3,475,927,849/39,396
  6. Step 6: Final answer
    x = 88,230.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.