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Finding the Third Proportional to 11,810 and 17,139

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Solution

The third proportional to 11,810 and 17,139 is: 24,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810 : 17,139 = 17,139 : x
  2. Step 2: Convert to fraction form
    11,810/17,139 = 17,139/x
  3. Step 3: Cross multiply
    11,810x = 17,139 × 17,139
  4. Step 4: Simplify right side
    11,810x = 293,745,321
  5. Step 5: Solve for x
    x = 293,745,321/11,810
  6. Step 6: Final answer
    x = 24,872.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.