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Finding the Third Proportional to 32,581 and 70,991

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Solution

The third proportional to 32,581 and 70,991 is: 154,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581 : 70,991 = 70,991 : x
  2. Step 2: Convert to fraction form
    32,581/70,991 = 70,991/x
  3. Step 3: Cross multiply
    32,581x = 70,991 × 70,991
  4. Step 4: Simplify right side
    32,581x = 5,039,722,081
  5. Step 5: Solve for x
    x = 5,039,722,081/32,581
  6. Step 6: Final answer
    x = 154,682.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.