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Finding the Third Proportional to 3,752.58 and 8,165.81

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Solution

The third proportional to 3,752.58 and 8,165.81 is: 17,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.58 : 8,165.81 = 8,165.81 : x
  2. Step 2: Convert to fraction form
    3,752.58/8,165.81 = 8,165.81/x
  3. Step 3: Cross multiply
    3,752.58x = 8,165.81 × 8,165.81
  4. Step 4: Simplify right side
    3,752.58x = 66,680,493.79
  5. Step 5: Solve for x
    x = 66,680,493.79/3,752.58
  6. Step 6: Final answer
    x = 17,769.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.