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Finding the Third Proportional to 2,521.13 and 6,382.55

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Solution

The third proportional to 2,521.13 and 6,382.55 is: 16,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.13 : 6,382.55 = 6,382.55 : x
  2. Step 2: Convert to fraction form
    2,521.13/6,382.55 = 6,382.55/x
  3. Step 3: Cross multiply
    2,521.13x = 6,382.55 × 6,382.55
  4. Step 4: Simplify right side
    2,521.13x = 40,736,904.61
  5. Step 5: Solve for x
    x = 40,736,904.61/2,521.13
  6. Step 6: Final answer
    x = 16,158.22

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.