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Finding the Third Proportional to 3,827.25 and 8,407.13

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Solution

The third proportional to 3,827.25 and 8,407.13 is: 18,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.25 : 8,407.13 = 8,407.13 : x
  2. Step 2: Convert to fraction form
    3,827.25/8,407.13 = 8,407.13/x
  3. Step 3: Cross multiply
    3,827.25x = 8,407.13 × 8,407.13
  4. Step 4: Simplify right side
    3,827.25x = 70,679,750.77
  5. Step 5: Solve for x
    x = 70,679,750.77/3,827.25
  6. Step 6: Final answer
    x = 18,467.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.