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Finding the Third Proportional to 7,839 and 17,137.13

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Solution

The third proportional to 7,839 and 17,137.13 is: 37,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 17,137.13 = 17,137.13 : x
  2. Step 2: Convert to fraction form
    7,839/17,137.13 = 17,137.13/x
  3. Step 3: Cross multiply
    7,839x = 17,137.13 × 17,137.13
  4. Step 4: Simplify right side
    7,839x = 293,681,053.27
  5. Step 5: Solve for x
    x = 293,681,053.27/7,839
  6. Step 6: Final answer
    x = 37,464.10

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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.