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Finding the Third Proportional to 3,854.67 and 5,461.17

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Solution

The third proportional to 3,854.67 and 5,461.17 is: 7,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.67 : 5,461.17 = 5,461.17 : x
  2. Step 2: Convert to fraction form
    3,854.67/5,461.17 = 5,461.17/x
  3. Step 3: Cross multiply
    3,854.67x = 5,461.17 × 5,461.17
  4. Step 4: Simplify right side
    3,854.67x = 29,824,398.25
  5. Step 5: Solve for x
    x = 29,824,398.25/3,854.67
  6. Step 6: Final answer
    x = 7,737.21

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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.