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Finding the Third Proportional to 2,737.55 and 6,411.02

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Solution

The third proportional to 2,737.55 and 6,411.02 is: 15,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.55 : 6,411.02 = 6,411.02 : x
  2. Step 2: Convert to fraction form
    2,737.55/6,411.02 = 6,411.02/x
  3. Step 3: Cross multiply
    2,737.55x = 6,411.02 × 6,411.02
  4. Step 4: Simplify right side
    2,737.55x = 41,101,221.52
  5. Step 5: Solve for x
    x = 41,101,221.52/2,737.55
  6. Step 6: Final answer
    x = 15,013.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.