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Finding the Third Proportional to 1,200.76 and 1,548.65

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Solution

The third proportional to 1,200.76 and 1,548.65 is: 1,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.76 : 1,548.65 = 1,548.65 : x
  2. Step 2: Convert to fraction form
    1,200.76/1,548.65 = 1,548.65/x
  3. Step 3: Cross multiply
    1,200.76x = 1,548.65 × 1,548.65
  4. Step 4: Simplify right side
    1,200.76x = 2,398,318.03
  5. Step 5: Solve for x
    x = 2,398,318.03/1,200.76
  6. Step 6: Final answer
    x = 1,997.33

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.