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Finding the Third Proportional to 10,502 and 15,866

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Solution

The third proportional to 10,502 and 15,866 is: 23,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502 : 15,866 = 15,866 : x
  2. Step 2: Convert to fraction form
    10,502/15,866 = 15,866/x
  3. Step 3: Cross multiply
    10,502x = 15,866 × 15,866
  4. Step 4: Simplify right side
    10,502x = 251,729,956
  5. Step 5: Solve for x
    x = 251,729,956/10,502
  6. Step 6: Final answer
    x = 23,969.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.