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Finding the Third Proportional to 13,947.19 and 20,951.16

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Solution

The third proportional to 13,947.19 and 20,951.16 is: 31,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.19 : 20,951.16 = 20,951.16 : x
  2. Step 2: Convert to fraction form
    13,947.19/20,951.16 = 20,951.16/x
  3. Step 3: Cross multiply
    13,947.19x = 20,951.16 × 20,951.16
  4. Step 4: Simplify right side
    13,947.19x = 438,950,948.21
  5. Step 5: Solve for x
    x = 438,950,948.21/13,947.19
  6. Step 6: Final answer
    x = 31,472.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.