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Finding the Third Proportional to 11,347.31 and 16,876.69

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Solution

The third proportional to 11,347.31 and 16,876.69 is: 25,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.31 : 16,876.69 = 16,876.69 : x
  2. Step 2: Convert to fraction form
    11,347.31/16,876.69 = 16,876.69/x
  3. Step 3: Cross multiply
    11,347.31x = 16,876.69 × 16,876.69
  4. Step 4: Simplify right side
    11,347.31x = 284,822,580.97
  5. Step 5: Solve for x
    x = 284,822,580.97/11,347.31
  6. Step 6: Final answer
    x = 25,100.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.