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Finding the Third Proportional to 2,737.55 and 6,008.55

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Solution

The third proportional to 2,737.55 and 6,008.55 is: 13,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.55 : 6,008.55 = 6,008.55 : x
  2. Step 2: Convert to fraction form
    2,737.55/6,008.55 = 6,008.55/x
  3. Step 3: Cross multiply
    2,737.55x = 6,008.55 × 6,008.55
  4. Step 4: Simplify right side
    2,737.55x = 36,102,729.43
  5. Step 5: Solve for x
    x = 36,102,729.43/2,737.55
  6. Step 6: Final answer
    x = 13,187.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.