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Finding the Third Proportional to 8,386.88 and 17,137.88

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Solution

The third proportional to 8,386.88 and 17,137.88 is: 35,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.88 : 17,137.88 = 17,137.88 : x
  2. Step 2: Convert to fraction form
    8,386.88/17,137.88 = 17,137.88/x
  3. Step 3: Cross multiply
    8,386.88x = 17,137.88 × 17,137.88
  4. Step 4: Simplify right side
    8,386.88x = 293,706,759.52
  5. Step 5: Solve for x
    x = 293,706,759.52/8,386.88
  6. Step 6: Final answer
    x = 35,019.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.