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Finding the Third Proportional to 666.38 and 1,365.38

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Solution

The third proportional to 666.38 and 1,365.38 is: 2,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.38 : 1,365.38 = 1,365.38 : x
  2. Step 2: Convert to fraction form
    666.38/1,365.38 = 1,365.38/x
  3. Step 3: Cross multiply
    666.38x = 1,365.38 × 1,365.38
  4. Step 4: Simplify right side
    666.38x = 1,864,248.89
  5. Step 5: Solve for x
    x = 1,864,248.89/666.38
  6. Step 6: Final answer
    x = 2,797.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.