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Finding the Third Proportional to 8,188 and 17,527

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Solution

The third proportional to 8,188 and 17,527 is: 37,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188 : 17,527 = 17,527 : x
  2. Step 2: Convert to fraction form
    8,188/17,527 = 17,527/x
  3. Step 3: Cross multiply
    8,188x = 17,527 × 17,527
  4. Step 4: Simplify right side
    8,188x = 307,195,729
  5. Step 5: Solve for x
    x = 307,195,729/8,188
  6. Step 6: Final answer
    x = 37,517.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.