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Finding the Third Proportional to 39,724 and 61,450

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Solution

The third proportional to 39,724 and 61,450 is: 95,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,724 : 61,450 = 61,450 : x
  2. Step 2: Convert to fraction form
    39,724/61,450 = 61,450/x
  3. Step 3: Cross multiply
    39,724x = 61,450 × 61,450
  4. Step 4: Simplify right side
    39,724x = 3,776,102,500
  5. Step 5: Solve for x
    x = 3,776,102,500/39,724
  6. Step 6: Final answer
    x = 95,058.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.