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Finding the Third Proportional to 3,841.59 and 8,404.59

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Solution

The third proportional to 3,841.59 and 8,404.59 is: 18,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.59 : 8,404.59 = 8,404.59 : x
  2. Step 2: Convert to fraction form
    3,841.59/8,404.59 = 8,404.59/x
  3. Step 3: Cross multiply
    3,841.59x = 8,404.59 × 8,404.59
  4. Step 4: Simplify right side
    3,841.59x = 70,637,196.10
  5. Step 5: Solve for x
    x = 70,637,196.10/3,841.59
  6. Step 6: Final answer
    x = 18,387.47

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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.