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Finding the Third Proportional to 1,660.18 and 3,593.74

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Solution

The third proportional to 1,660.18 and 3,593.74 is: 7,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.18 : 3,593.74 = 3,593.74 : x
  2. Step 2: Convert to fraction form
    1,660.18/3,593.74 = 3,593.74/x
  3. Step 3: Cross multiply
    1,660.18x = 3,593.74 × 3,593.74
  4. Step 4: Simplify right side
    1,660.18x = 12,914,982.91
  5. Step 5: Solve for x
    x = 12,914,982.91/1,660.18
  6. Step 6: Final answer
    x = 7,779.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.