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Finding the Third Proportional to 2,517.19 and 5,095.13

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Solution

The third proportional to 2,517.19 and 5,095.13 is: 10,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.19 : 5,095.13 = 5,095.13 : x
  2. Step 2: Convert to fraction form
    2,517.19/5,095.13 = 5,095.13/x
  3. Step 3: Cross multiply
    2,517.19x = 5,095.13 × 5,095.13
  4. Step 4: Simplify right side
    2,517.19x = 25,960,298.77
  5. Step 5: Solve for x
    x = 25,960,298.77/2,517.19
  6. Step 6: Final answer
    x = 10,313.22

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.