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Finding the Third Proportional to 9,397.27 and 13,651.66

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Solution

The third proportional to 9,397.27 and 13,651.66 is: 19,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.27 : 13,651.66 = 13,651.66 : x
  2. Step 2: Convert to fraction form
    9,397.27/13,651.66 = 13,651.66/x
  3. Step 3: Cross multiply
    9,397.27x = 13,651.66 × 13,651.66
  4. Step 4: Simplify right side
    9,397.27x = 186,367,931.68
  5. Step 5: Solve for x
    x = 186,367,931.68/9,397.27
  6. Step 6: Final answer
    x = 19,832.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.