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Finding the Third Proportional to 24,375 and 38,767.50

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Solution

The third proportional to 24,375 and 38,767.50 is: 61,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 38,767.50 = 38,767.50 : x
  2. Step 2: Convert to fraction form
    24,375/38,767.50 = 38,767.50/x
  3. Step 3: Cross multiply
    24,375x = 38,767.50 × 38,767.50
  4. Step 4: Simplify right side
    24,375x = 1,502,919,056.25
  5. Step 5: Solve for x
    x = 1,502,919,056.25/24,375
  6. Step 6: Final answer
    x = 61,658.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.