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Finding the Third Proportional to 24,239.50 and 35,561

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Solution

The third proportional to 24,239.50 and 35,561 is: 52,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239.50 : 35,561 = 35,561 : x
  2. Step 2: Convert to fraction form
    24,239.50/35,561 = 35,561/x
  3. Step 3: Cross multiply
    24,239.50x = 35,561 × 35,561
  4. Step 4: Simplify right side
    24,239.50x = 1,264,584,721
  5. Step 5: Solve for x
    x = 1,264,584,721/24,239.50
  6. Step 6: Final answer
    x = 52,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.