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Finding the Third Proportional to 8,178.47 and 17,139.09

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Solution

The third proportional to 8,178.47 and 17,139.09 is: 35,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.47 : 17,139.09 = 17,139.09 : x
  2. Step 2: Convert to fraction form
    8,178.47/17,139.09 = 17,139.09/x
  3. Step 3: Cross multiply
    8,178.47x = 17,139.09 × 17,139.09
  4. Step 4: Simplify right side
    8,178.47x = 293,748,534.57
  5. Step 5: Solve for x
    x = 293,748,534.57/8,178.47
  6. Step 6: Final answer
    x = 35,917.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.