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Finding the Third Proportional to 24,907 and 38,008

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Solution

The third proportional to 24,907 and 38,008 is: 58,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907 : 38,008 = 38,008 : x
  2. Step 2: Convert to fraction form
    24,907/38,008 = 38,008/x
  3. Step 3: Cross multiply
    24,907x = 38,008 × 38,008
  4. Step 4: Simplify right side
    24,907x = 1,444,608,064
  5. Step 5: Solve for x
    x = 1,444,608,064/24,907
  6. Step 6: Final answer
    x = 58,000.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.