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Finding the Third Proportional to 3,661.88 and 8,017.88

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Solution

The third proportional to 3,661.88 and 8,017.88 is: 17,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.88 : 8,017.88 = 8,017.88 : x
  2. Step 2: Convert to fraction form
    3,661.88/8,017.88 = 8,017.88/x
  3. Step 3: Cross multiply
    3,661.88x = 8,017.88 × 8,017.88
  4. Step 4: Simplify right side
    3,661.88x = 64,286,319.52
  5. Step 5: Solve for x
    x = 64,286,319.52/3,661.88
  6. Step 6: Final answer
    x = 17,555.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.