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Finding the Third Proportional to 6,259.78 and 9,661.78

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Solution

The third proportional to 6,259.78 and 9,661.78 is: 14,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.78 : 9,661.78 = 9,661.78 : x
  2. Step 2: Convert to fraction form
    6,259.78/9,661.78 = 9,661.78/x
  3. Step 3: Cross multiply
    6,259.78x = 9,661.78 × 9,661.78
  4. Step 4: Simplify right side
    6,259.78x = 93,350,016.92
  5. Step 5: Solve for x
    x = 93,350,016.92/6,259.78
  6. Step 6: Final answer
    x = 14,912.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.