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Finding the Third Proportional to 8,206.50 and 17,581

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Solution

The third proportional to 8,206.50 and 17,581 is: 37,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.50 : 17,581 = 17,581 : x
  2. Step 2: Convert to fraction form
    8,206.50/17,581 = 17,581/x
  3. Step 3: Cross multiply
    8,206.50x = 17,581 × 17,581
  4. Step 4: Simplify right side
    8,206.50x = 309,091,561
  5. Step 5: Solve for x
    x = 309,091,561/8,206.50
  6. Step 6: Final answer
    x = 37,664.24

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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.