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Finding the Third Proportional to 12,086.50 and 17,604

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Solution

The third proportional to 12,086.50 and 17,604 is: 25,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.50 : 17,604 = 17,604 : x
  2. Step 2: Convert to fraction form
    12,086.50/17,604 = 17,604/x
  3. Step 3: Cross multiply
    12,086.50x = 17,604 × 17,604
  4. Step 4: Simplify right side
    12,086.50x = 309,900,816
  5. Step 5: Solve for x
    x = 309,900,816/12,086.50
  6. Step 6: Final answer
    x = 25,640.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.