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Finding the Third Proportional to 25,600 and 38,880

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Solution

The third proportional to 25,600 and 38,880 is: 59,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600 : 38,880 = 38,880 : x
  2. Step 2: Convert to fraction form
    25,600/38,880 = 38,880/x
  3. Step 3: Cross multiply
    25,600x = 38,880 × 38,880
  4. Step 4: Simplify right side
    25,600x = 1,511,654,400
  5. Step 5: Solve for x
    x = 1,511,654,400/25,600
  6. Step 6: Final answer
    x = 59,049

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.