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Finding the Third Proportional to 7,877.50 and 17,186

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Solution

The third proportional to 7,877.50 and 17,186 is: 37,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.50 : 17,186 = 17,186 : x
  2. Step 2: Convert to fraction form
    7,877.50/17,186 = 17,186/x
  3. Step 3: Cross multiply
    7,877.50x = 17,186 × 17,186
  4. Step 4: Simplify right side
    7,877.50x = 295,358,596
  5. Step 5: Solve for x
    x = 295,358,596/7,877.50
  6. Step 6: Final answer
    x = 37,493.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.