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Finding the Third Proportional to 24,697.50 and 38,301

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Solution

The third proportional to 24,697.50 and 38,301 is: 59,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.50 : 38,301 = 38,301 : x
  2. Step 2: Convert to fraction form
    24,697.50/38,301 = 38,301/x
  3. Step 3: Cross multiply
    24,697.50x = 38,301 × 38,301
  4. Step 4: Simplify right side
    24,697.50x = 1,466,966,601
  5. Step 5: Solve for x
    x = 1,466,966,601/24,697.50
  6. Step 6: Final answer
    x = 59,397.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.