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Finding the Third Proportional to 5,916.38 and 13,614.75

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Solution

The third proportional to 5,916.38 and 13,614.75 is: 31,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.38 : 13,614.75 = 13,614.75 : x
  2. Step 2: Convert to fraction form
    5,916.38/13,614.75 = 13,614.75/x
  3. Step 3: Cross multiply
    5,916.38x = 13,614.75 × 13,614.75
  4. Step 4: Simplify right side
    5,916.38x = 185,361,417.56
  5. Step 5: Solve for x
    x = 185,361,417.56/5,916.38
  6. Step 6: Final answer
    x = 31,330.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.