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Finding the Third Proportional to 732.09 and 1,125.84

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Solution

The third proportional to 732.09 and 1,125.84 is: 1,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,125.84 = 1,125.84 : x
  2. Step 2: Convert to fraction form
    732.09/1,125.84 = 1,125.84/x
  3. Step 3: Cross multiply
    732.09x = 1,125.84 × 1,125.84
  4. Step 4: Simplify right side
    732.09x = 1,267,524.15
  5. Step 5: Solve for x
    x = 1,267,524.15/732.09
  6. Step 6: Final answer
    x = 1,731.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.