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Finding the Third Proportional to 10,899 and 15,347

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Solution

The third proportional to 10,899 and 15,347 is: 21,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899 : 15,347 = 15,347 : x
  2. Step 2: Convert to fraction form
    10,899/15,347 = 15,347/x
  3. Step 3: Cross multiply
    10,899x = 15,347 × 15,347
  4. Step 4: Simplify right side
    10,899x = 235,530,409
  5. Step 5: Solve for x
    x = 235,530,409/10,899
  6. Step 6: Final answer
    x = 21,610.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.