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Finding the Third Proportional to 3,737.55 and 8,141.45

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Solution

The third proportional to 3,737.55 and 8,141.45 is: 17,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.55 : 8,141.45 = 8,141.45 : x
  2. Step 2: Convert to fraction form
    3,737.55/8,141.45 = 8,141.45/x
  3. Step 3: Cross multiply
    3,737.55x = 8,141.45 × 8,141.45
  4. Step 4: Simplify right side
    3,737.55x = 66,283,195.38
  5. Step 5: Solve for x
    x = 66,283,195.38/3,737.55
  6. Step 6: Final answer
    x = 17,734.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.