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Finding the Third Proportional to 4,044.62 and 8,651.60

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Solution

The third proportional to 4,044.62 and 8,651.60 is: 18,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.62 : 8,651.60 = 8,651.60 : x
  2. Step 2: Convert to fraction form
    4,044.62/8,651.60 = 8,651.60/x
  3. Step 3: Cross multiply
    4,044.62x = 8,651.60 × 8,651.60
  4. Step 4: Simplify right side
    4,044.62x = 74,850,209.60
  5. Step 5: Solve for x
    x = 74,850,209.60/4,044.62
  6. Step 6: Final answer
    x = 18,506.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.