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Finding the Third Proportional to 9,264.38 and 13,651.88

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Solution

The third proportional to 9,264.38 and 13,651.88 is: 20,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.38 : 13,651.88 = 13,651.88 : x
  2. Step 2: Convert to fraction form
    9,264.38/13,651.88 = 13,651.88/x
  3. Step 3: Cross multiply
    9,264.38x = 13,651.88 × 13,651.88
  4. Step 4: Simplify right side
    9,264.38x = 186,373,691.02
  5. Step 5: Solve for x
    x = 186,373,691.02/9,264.38
  6. Step 6: Final answer
    x = 20,117.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.