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Finding the Third Proportional to 6,837.75 and 18,397.13

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Solution

The third proportional to 6,837.75 and 18,397.13 is: 49,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.75 : 18,397.13 = 18,397.13 : x
  2. Step 2: Convert to fraction form
    6,837.75/18,397.13 = 18,397.13/x
  3. Step 3: Cross multiply
    6,837.75x = 18,397.13 × 18,397.13
  4. Step 4: Simplify right side
    6,837.75x = 338,454,208.27
  5. Step 5: Solve for x
    x = 338,454,208.27/6,837.75
  6. Step 6: Final answer
    x = 49,497.89

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.