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Finding the Third Proportional to 8,583 and 17,717.25

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Solution

The third proportional to 8,583 and 17,717.25 is: 36,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583 : 17,717.25 = 17,717.25 : x
  2. Step 2: Convert to fraction form
    8,583/17,717.25 = 17,717.25/x
  3. Step 3: Cross multiply
    8,583x = 17,717.25 × 17,717.25
  4. Step 4: Simplify right side
    8,583x = 313,900,947.56
  5. Step 5: Solve for x
    x = 313,900,947.56/8,583
  6. Step 6: Final answer
    x = 36,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.