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Finding the Third Proportional to 15,913 and 23,866

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Solution

The third proportional to 15,913 and 23,866 is: 35,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913 : 23,866 = 23,866 : x
  2. Step 2: Convert to fraction form
    15,913/23,866 = 23,866/x
  3. Step 3: Cross multiply
    15,913x = 23,866 × 23,866
  4. Step 4: Simplify right side
    15,913x = 569,585,956
  5. Step 5: Solve for x
    x = 569,585,956/15,913
  6. Step 6: Final answer
    x = 35,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.