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Finding the Third Proportional to 6,098.08 and 13,363.87

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Solution

The third proportional to 6,098.08 and 13,363.87 is: 29,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.08 : 13,363.87 = 13,363.87 : x
  2. Step 2: Convert to fraction form
    6,098.08/13,363.87 = 13,363.87/x
  3. Step 3: Cross multiply
    6,098.08x = 13,363.87 × 13,363.87
  4. Step 4: Simplify right side
    6,098.08x = 178,593,096.29
  5. Step 5: Solve for x
    x = 178,593,096.29/6,098.08
  6. Step 6: Final answer
    x = 29,286.79

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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.