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Finding the Third Proportional to 32,969 and 61,837

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Solution

The third proportional to 32,969 and 61,837 is: 115,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 61,837 = 61,837 : x
  2. Step 2: Convert to fraction form
    32,969/61,837 = 61,837/x
  3. Step 3: Cross multiply
    32,969x = 61,837 × 61,837
  4. Step 4: Simplify right side
    32,969x = 3,823,814,569
  5. Step 5: Solve for x
    x = 3,823,814,569/32,969
  6. Step 6: Final answer
    x = 115,982.12

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.