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Finding the Third Proportional to 32,034.38 and 70,103.25

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Solution

The third proportional to 32,034.38 and 70,103.25 is: 153,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.38 : 70,103.25 = 70,103.25 : x
  2. Step 2: Convert to fraction form
    32,034.38/70,103.25 = 70,103.25/x
  3. Step 3: Cross multiply
    32,034.38x = 70,103.25 × 70,103.25
  4. Step 4: Simplify right side
    32,034.38x = 4,914,465,660.56
  5. Step 5: Solve for x
    x = 4,914,465,660.56/32,034.38
  6. Step 6: Final answer
    x = 153,412.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.