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Finding the Third Proportional to 2,562.19 and 5,397.19

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Solution

The third proportional to 2,562.19 and 5,397.19 is: 11,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.19 : 5,397.19 = 5,397.19 : x
  2. Step 2: Convert to fraction form
    2,562.19/5,397.19 = 5,397.19/x
  3. Step 3: Cross multiply
    2,562.19x = 5,397.19 × 5,397.19
  4. Step 4: Simplify right side
    2,562.19x = 29,129,632.91
  5. Step 5: Solve for x
    x = 29,129,632.91/2,562.19
  6. Step 6: Final answer
    x = 11,369.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.