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Finding the Third Proportional to 32,928 and 38,688

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Solution

The third proportional to 32,928 and 38,688 is: 45,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928 : 38,688 = 38,688 : x
  2. Step 2: Convert to fraction form
    32,928/38,688 = 38,688/x
  3. Step 3: Cross multiply
    32,928x = 38,688 × 38,688
  4. Step 4: Simplify right side
    32,928x = 1,496,761,344
  5. Step 5: Solve for x
    x = 1,496,761,344/32,928
  6. Step 6: Final answer
    x = 45,455.58

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.