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Finding the Third Proportional to 24,472 and 35,331

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Solution

The third proportional to 24,472 and 35,331 is: 51,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472 : 35,331 = 35,331 : x
  2. Step 2: Convert to fraction form
    24,472/35,331 = 35,331/x
  3. Step 3: Cross multiply
    24,472x = 35,331 × 35,331
  4. Step 4: Simplify right side
    24,472x = 1,248,279,561
  5. Step 5: Solve for x
    x = 1,248,279,561/24,472
  6. Step 6: Final answer
    x = 51,008.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.