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Finding the Third Proportional to 15,750 and 24,167

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Solution

The third proportional to 15,750 and 24,167 is: 37,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,750 : 24,167 = 24,167 : x
  2. Step 2: Convert to fraction form
    15,750/24,167 = 24,167/x
  3. Step 3: Cross multiply
    15,750x = 24,167 × 24,167
  4. Step 4: Simplify right side
    15,750x = 584,043,889
  5. Step 5: Solve for x
    x = 584,043,889/15,750
  6. Step 6: Final answer
    x = 37,082.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.