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Finding the Third Proportional to 13,344 and 28,632

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Solution

The third proportional to 13,344 and 28,632 is: 61,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344 : 28,632 = 28,632 : x
  2. Step 2: Convert to fraction form
    13,344/28,632 = 28,632/x
  3. Step 3: Cross multiply
    13,344x = 28,632 × 28,632
  4. Step 4: Simplify right side
    13,344x = 819,791,424
  5. Step 5: Solve for x
    x = 819,791,424/13,344
  6. Step 6: Final answer
    x = 61,435.21

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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.