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Finding the Third Proportional to 1,009.50 and 1,512.75

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Solution

The third proportional to 1,009.50 and 1,512.75 is: 2,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.50 : 1,512.75 = 1,512.75 : x
  2. Step 2: Convert to fraction form
    1,009.50/1,512.75 = 1,512.75/x
  3. Step 3: Cross multiply
    1,009.50x = 1,512.75 × 1,512.75
  4. Step 4: Simplify right side
    1,009.50x = 2,288,412.56
  5. Step 5: Solve for x
    x = 2,288,412.56/1,009.50
  6. Step 6: Final answer
    x = 2,266.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.