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Finding the Third Proportional to 6,382.13 and 10,281.94

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Solution

The third proportional to 6,382.13 and 10,281.94 is: 16,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 10,281.94 = 10,281.94 : x
  2. Step 2: Convert to fraction form
    6,382.13/10,281.94 = 10,281.94/x
  3. Step 3: Cross multiply
    6,382.13x = 10,281.94 × 10,281.94
  4. Step 4: Simplify right side
    6,382.13x = 105,718,238.75
  5. Step 5: Solve for x
    x = 105,718,238.75/6,382.13
  6. Step 6: Final answer
    x = 16,564.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.