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Finding the Third Proportional to 7,661.57 and 16,839.56

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Solution

The third proportional to 7,661.57 and 16,839.56 is: 37,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.57 : 16,839.56 = 16,839.56 : x
  2. Step 2: Convert to fraction form
    7,661.57/16,839.56 = 16,839.56/x
  3. Step 3: Cross multiply
    7,661.57x = 16,839.56 × 16,839.56
  4. Step 4: Simplify right side
    7,661.57x = 283,570,865.19
  5. Step 5: Solve for x
    x = 283,570,865.19/7,661.57
  6. Step 6: Final answer
    x = 37,012.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.