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Finding the Third Proportional to 3,523.50 and 7,660.13

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Solution

The third proportional to 3,523.50 and 7,660.13 is: 16,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.50 : 7,660.13 = 7,660.13 : x
  2. Step 2: Convert to fraction form
    3,523.50/7,660.13 = 7,660.13/x
  3. Step 3: Cross multiply
    3,523.50x = 7,660.13 × 7,660.13
  4. Step 4: Simplify right side
    3,523.50x = 58,677,515.02
  5. Step 5: Solve for x
    x = 58,677,515.02/3,523.50
  6. Step 6: Final answer
    x = 16,653.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.