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Finding the Third Proportional to 10,676 and 15,738

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Solution

The third proportional to 10,676 and 15,738 is: 23,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676 : 15,738 = 15,738 : x
  2. Step 2: Convert to fraction form
    10,676/15,738 = 15,738/x
  3. Step 3: Cross multiply
    10,676x = 15,738 × 15,738
  4. Step 4: Simplify right side
    10,676x = 247,684,644
  5. Step 5: Solve for x
    x = 247,684,644/10,676
  6. Step 6: Final answer
    x = 23,200.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.