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Finding the Third Proportional to 8,394 and 17,650

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Solution

The third proportional to 8,394 and 17,650 is: 37,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 17,650 = 17,650 : x
  2. Step 2: Convert to fraction form
    8,394/17,650 = 17,650/x
  3. Step 3: Cross multiply
    8,394x = 17,650 × 17,650
  4. Step 4: Simplify right side
    8,394x = 311,522,500
  5. Step 5: Solve for x
    x = 311,522,500/8,394
  6. Step 6: Final answer
    x = 37,112.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.