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Finding the Third Proportional to 6,382.13 and 9,708.19

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Solution

The third proportional to 6,382.13 and 9,708.19 is: 14,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 9,708.19 = 9,708.19 : x
  2. Step 2: Convert to fraction form
    6,382.13/9,708.19 = 9,708.19/x
  3. Step 3: Cross multiply
    6,382.13x = 9,708.19 × 9,708.19
  4. Step 4: Simplify right side
    6,382.13x = 94,248,904.54
  5. Step 5: Solve for x
    x = 94,248,904.54/6,382.13
  6. Step 6: Final answer
    x = 14,767.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.