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Finding the Third Proportional to 6,145.88 and 9,269.86

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Solution

The third proportional to 6,145.88 and 9,269.86 is: 13,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.88 : 9,269.86 = 9,269.86 : x
  2. Step 2: Convert to fraction form
    6,145.88/9,269.86 = 9,269.86/x
  3. Step 3: Cross multiply
    6,145.88x = 9,269.86 × 9,269.86
  4. Step 4: Simplify right side
    6,145.88x = 85,930,292.83
  5. Step 5: Solve for x
    x = 85,930,292.83/6,145.88
  6. Step 6: Final answer
    x = 13,981.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.