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Finding the Third Proportional to 32,749.31 and 70,728.19

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Solution

The third proportional to 32,749.31 and 70,728.19 is: 152,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.31 : 70,728.19 = 70,728.19 : x
  2. Step 2: Convert to fraction form
    32,749.31/70,728.19 = 70,728.19/x
  3. Step 3: Cross multiply
    32,749.31x = 70,728.19 × 70,728.19
  4. Step 4: Simplify right side
    32,749.31x = 5,002,476,507.04
  5. Step 5: Solve for x
    x = 5,002,476,507.04/32,749.31
  6. Step 6: Final answer
    x = 152,750.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.