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Finding the Third Proportional to 24,011 and 31,862

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Solution

The third proportional to 24,011 and 31,862 is: 42,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011 : 31,862 = 31,862 : x
  2. Step 2: Convert to fraction form
    24,011/31,862 = 31,862/x
  3. Step 3: Cross multiply
    24,011x = 31,862 × 31,862
  4. Step 4: Simplify right side
    24,011x = 1,015,187,044
  5. Step 5: Solve for x
    x = 1,015,187,044/24,011
  6. Step 6: Final answer
    x = 42,280.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.