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Finding the Third Proportional to 15,976 and 32,600

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Solution

The third proportional to 15,976 and 32,600 is: 66,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976 : 32,600 = 32,600 : x
  2. Step 2: Convert to fraction form
    15,976/32,600 = 32,600/x
  3. Step 3: Cross multiply
    15,976x = 32,600 × 32,600
  4. Step 4: Simplify right side
    15,976x = 1,062,760,000
  5. Step 5: Solve for x
    x = 1,062,760,000/15,976
  6. Step 6: Final answer
    x = 66,522.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.