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Finding the Third Proportional to 1,132.42 and 2,432.21

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Solution

The third proportional to 1,132.42 and 2,432.21 is: 5,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.42 : 2,432.21 = 2,432.21 : x
  2. Step 2: Convert to fraction form
    1,132.42/2,432.21 = 2,432.21/x
  3. Step 3: Cross multiply
    1,132.42x = 2,432.21 × 2,432.21
  4. Step 4: Simplify right side
    1,132.42x = 5,915,669.05
  5. Step 5: Solve for x
    x = 5,915,669.05/1,132.42
  6. Step 6: Final answer
    x = 5,223.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.