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Finding the Third Proportional to 32,581.50 and 70,767.75

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Solution

The third proportional to 32,581.50 and 70,767.75 is: 153,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.50 : 70,767.75 = 70,767.75 : x
  2. Step 2: Convert to fraction form
    32,581.50/70,767.75 = 70,767.75/x
  3. Step 3: Cross multiply
    32,581.50x = 70,767.75 × 70,767.75
  4. Step 4: Simplify right side
    32,581.50x = 5,008,074,440.06
  5. Step 5: Solve for x
    x = 5,008,074,440.06/32,581.50
  6. Step 6: Final answer
    x = 153,709.14

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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.