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Finding the Third Proportional to 2,543.81 and 3,864.66

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Solution

The third proportional to 2,543.81 and 3,864.66 is: 5,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.81 : 3,864.66 = 3,864.66 : x
  2. Step 2: Convert to fraction form
    2,543.81/3,864.66 = 3,864.66/x
  3. Step 3: Cross multiply
    2,543.81x = 3,864.66 × 3,864.66
  4. Step 4: Simplify right side
    2,543.81x = 14,935,567.93
  5. Step 5: Solve for x
    x = 14,935,567.93/2,543.81
  6. Step 6: Final answer
    x = 5,871.33

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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.