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Finding the Third Proportional to 9,793.13 and 14,711.34

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Solution

The third proportional to 9,793.13 and 14,711.34 is: 22,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.13 : 14,711.34 = 14,711.34 : x
  2. Step 2: Convert to fraction form
    9,793.13/14,711.34 = 14,711.34/x
  3. Step 3: Cross multiply
    9,793.13x = 14,711.34 × 14,711.34
  4. Step 4: Simplify right side
    9,793.13x = 216,423,634.93
  5. Step 5: Solve for x
    x = 216,423,634.93/9,793.13
  6. Step 6: Final answer
    x = 22,099.55

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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.