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Finding the Third Proportional to 32,487.75 and 70,851.38

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Solution

The third proportional to 32,487.75 and 70,851.38 is: 154,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487.75 : 70,851.38 = 70,851.38 : x
  2. Step 2: Convert to fraction form
    32,487.75/70,851.38 = 70,851.38/x
  3. Step 3: Cross multiply
    32,487.75x = 70,851.38 × 70,851.38
  4. Step 4: Simplify right side
    32,487.75x = 5,019,917,339.39
  5. Step 5: Solve for x
    x = 5,019,917,339.39/32,487.75
  6. Step 6: Final answer
    x = 154,517.24

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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.