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Finding the Third Proportional to 867.50 and 1,326.75

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Solution

The third proportional to 867.50 and 1,326.75 is: 2,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.50 : 1,326.75 = 1,326.75 : x
  2. Step 2: Convert to fraction form
    867.50/1,326.75 = 1,326.75/x
  3. Step 3: Cross multiply
    867.50x = 1,326.75 × 1,326.75
  4. Step 4: Simplify right side
    867.50x = 1,760,265.56
  5. Step 5: Solve for x
    x = 1,760,265.56/867.50
  6. Step 6: Final answer
    x = 2,029.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.