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Finding the Third Proportional to 10,174 and 15,745

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Solution

The third proportional to 10,174 and 15,745 is: 24,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174 : 15,745 = 15,745 : x
  2. Step 2: Convert to fraction form
    10,174/15,745 = 15,745/x
  3. Step 3: Cross multiply
    10,174x = 15,745 × 15,745
  4. Step 4: Simplify right side
    10,174x = 247,905,025
  5. Step 5: Solve for x
    x = 247,905,025/10,174
  6. Step 6: Final answer
    x = 24,366.52

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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.