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Finding the Third Proportional to 15,989 and 32,761

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Solution

The third proportional to 15,989 and 32,761 is: 67,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989 : 32,761 = 32,761 : x
  2. Step 2: Convert to fraction form
    15,989/32,761 = 32,761/x
  3. Step 3: Cross multiply
    15,989x = 32,761 × 32,761
  4. Step 4: Simplify right side
    15,989x = 1,073,283,121
  5. Step 5: Solve for x
    x = 1,073,283,121/15,989
  6. Step 6: Final answer
    x = 67,126.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.