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Finding the Third Proportional to 3,844.69 and 8,407.69

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Solution

The third proportional to 3,844.69 and 8,407.69 is: 18,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.69 : 8,407.69 = 8,407.69 : x
  2. Step 2: Convert to fraction form
    3,844.69/8,407.69 = 8,407.69/x
  3. Step 3: Cross multiply
    3,844.69x = 8,407.69 × 8,407.69
  4. Step 4: Simplify right side
    3,844.69x = 70,689,209.10
  5. Step 5: Solve for x
    x = 70,689,209.10/3,844.69
  6. Step 6: Final answer
    x = 18,386.20

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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.