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Finding the Third Proportional to 3,486.38 and 7,585.88

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Solution

The third proportional to 3,486.38 and 7,585.88 is: 16,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.38 : 7,585.88 = 7,585.88 : x
  2. Step 2: Convert to fraction form
    3,486.38/7,585.88 = 7,585.88/x
  3. Step 3: Cross multiply
    3,486.38x = 7,585.88 × 7,585.88
  4. Step 4: Simplify right side
    3,486.38x = 57,545,499.52
  5. Step 5: Solve for x
    x = 57,545,499.52/3,486.38
  6. Step 6: Final answer
    x = 16,505.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.