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Finding the Third Proportional to 3,862.13 and 5,468.06

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Solution

The third proportional to 3,862.13 and 5,468.06 is: 7,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.13 : 5,468.06 = 5,468.06 : x
  2. Step 2: Convert to fraction form
    3,862.13/5,468.06 = 5,468.06/x
  3. Step 3: Cross multiply
    3,862.13x = 5,468.06 × 5,468.06
  4. Step 4: Simplify right side
    3,862.13x = 29,899,707.50
  5. Step 5: Solve for x
    x = 29,899,707.50/3,862.13
  6. Step 6: Final answer
    x = 7,741.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.