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Finding the Third Proportional to 3,752.30 and 8,685.91

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Solution

The third proportional to 3,752.30 and 8,685.91 is: 20,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.30 : 8,685.91 = 8,685.91 : x
  2. Step 2: Convert to fraction form
    3,752.30/8,685.91 = 8,685.91/x
  3. Step 3: Cross multiply
    3,752.30x = 8,685.91 × 8,685.91
  4. Step 4: Simplify right side
    3,752.30x = 75,445,103.10
  5. Step 5: Solve for x
    x = 75,445,103.10/3,752.30
  6. Step 6: Final answer
    x = 20,106.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.