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Finding the Third Proportional to 6,158.53 and 13,240.97

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Solution

The third proportional to 6,158.53 and 13,240.97 is: 28,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.53 : 13,240.97 = 13,240.97 : x
  2. Step 2: Convert to fraction form
    6,158.53/13,240.97 = 13,240.97/x
  3. Step 3: Cross multiply
    6,158.53x = 13,240.97 × 13,240.97
  4. Step 4: Simplify right side
    6,158.53x = 175,323,253.44
  5. Step 5: Solve for x
    x = 175,323,253.44/6,158.53
  6. Step 6: Final answer
    x = 28,468.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.