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Finding the Third Proportional to 15,589 and 32,097

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Solution

The third proportional to 15,589 and 32,097 is: 66,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589 : 32,097 = 32,097 : x
  2. Step 2: Convert to fraction form
    15,589/32,097 = 32,097/x
  3. Step 3: Cross multiply
    15,589x = 32,097 × 32,097
  4. Step 4: Simplify right side
    15,589x = 1,030,217,409
  5. Step 5: Solve for x
    x = 1,030,217,409/15,589
  6. Step 6: Final answer
    x = 66,086.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.