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Finding the Third Proportional to 1,532.67 and 2,292.05

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Solution

The third proportional to 1,532.67 and 2,292.05 is: 3,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.67 : 2,292.05 = 2,292.05 : x
  2. Step 2: Convert to fraction form
    1,532.67/2,292.05 = 2,292.05/x
  3. Step 3: Cross multiply
    1,532.67x = 2,292.05 × 2,292.05
  4. Step 4: Simplify right side
    1,532.67x = 5,253,478.88
  5. Step 5: Solve for x
    x = 5,253,478.88/1,532.67
  6. Step 6: Final answer
    x = 3,427.66

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