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Finding the Third Proportional to 1,660.08 and 2,665.83

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Solution

The third proportional to 1,660.08 and 2,665.83 is: 4,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.08 : 2,665.83 = 2,665.83 : x
  2. Step 2: Convert to fraction form
    1,660.08/2,665.83 = 2,665.83/x
  3. Step 3: Cross multiply
    1,660.08x = 2,665.83 × 2,665.83
  4. Step 4: Simplify right side
    1,660.08x = 7,106,639.59
  5. Step 5: Solve for x
    x = 7,106,639.59/1,660.08
  6. Step 6: Final answer
    x = 4,280.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.