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Finding the Third Proportional to 9,414.28 and 13,760.65

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Solution

The third proportional to 9,414.28 and 13,760.65 is: 20,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.28 : 13,760.65 = 13,760.65 : x
  2. Step 2: Convert to fraction form
    9,414.28/13,760.65 = 13,760.65/x
  3. Step 3: Cross multiply
    9,414.28x = 13,760.65 × 13,760.65
  4. Step 4: Simplify right side
    9,414.28x = 189,355,445.42
  5. Step 5: Solve for x
    x = 189,355,445.42/9,414.28
  6. Step 6: Final answer
    x = 20,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.