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Finding the Third Proportional to 24,742 and 38,031

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Solution

The third proportional to 24,742 and 38,031 is: 58,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 38,031 = 38,031 : x
  2. Step 2: Convert to fraction form
    24,742/38,031 = 38,031/x
  3. Step 3: Cross multiply
    24,742x = 38,031 × 38,031
  4. Step 4: Simplify right side
    24,742x = 1,446,356,961
  5. Step 5: Solve for x
    x = 1,446,356,961/24,742
  6. Step 6: Final answer
    x = 58,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.