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Finding the Third Proportional to 24,631 and 39,008

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Solution

The third proportional to 24,631 and 39,008 is: 61,776.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,631 : 39,008 = 39,008 : x
  2. Step 2: Convert to fraction form
    24,631/39,008 = 39,008/x
  3. Step 3: Cross multiply
    24,631x = 39,008 × 39,008
  4. Step 4: Simplify right side
    24,631x = 1,521,624,064
  5. Step 5: Solve for x
    x = 1,521,624,064/24,631
  6. Step 6: Final answer
    x = 61,776.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.