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Finding the Third Proportional to 32,715 and 70,962

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Solution

The third proportional to 32,715 and 70,962 is: 153,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715 : 70,962 = 70,962 : x
  2. Step 2: Convert to fraction form
    32,715/70,962 = 70,962/x
  3. Step 3: Cross multiply
    32,715x = 70,962 × 70,962
  4. Step 4: Simplify right side
    32,715x = 5,035,605,444
  5. Step 5: Solve for x
    x = 5,035,605,444/32,715
  6. Step 6: Final answer
    x = 153,923.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.