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Finding the Third Proportional to 3,660.75 and 8,032.88

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Solution

The third proportional to 3,660.75 and 8,032.88 is: 17,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.75 : 8,032.88 = 8,032.88 : x
  2. Step 2: Convert to fraction form
    3,660.75/8,032.88 = 8,032.88/x
  3. Step 3: Cross multiply
    3,660.75x = 8,032.88 × 8,032.88
  4. Step 4: Simplify right side
    3,660.75x = 64,527,080.77
  5. Step 5: Solve for x
    x = 64,527,080.77/3,660.75
  6. Step 6: Final answer
    x = 17,626.74

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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.