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Finding the Third Proportional to 17,680 and 26,566

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Solution

The third proportional to 17,680 and 26,566 is: 39,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680 : 26,566 = 26,566 : x
  2. Step 2: Convert to fraction form
    17,680/26,566 = 26,566/x
  3. Step 3: Cross multiply
    17,680x = 26,566 × 26,566
  4. Step 4: Simplify right side
    17,680x = 705,752,356
  5. Step 5: Solve for x
    x = 705,752,356/17,680
  6. Step 6: Final answer
    x = 39,918.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.