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Finding the Third Proportional to 8,160 and 17,655

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Solution

The third proportional to 8,160 and 17,655 is: 38,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 17,655 = 17,655 : x
  2. Step 2: Convert to fraction form
    8,160/17,655 = 17,655/x
  3. Step 3: Cross multiply
    8,160x = 17,655 × 17,655
  4. Step 4: Simplify right side
    8,160x = 311,699,025
  5. Step 5: Solve for x
    x = 311,699,025/8,160
  6. Step 6: Final answer
    x = 38,198.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.