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Finding the Third Proportional to 32,297.25 and 70,959.75

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Solution

The third proportional to 32,297.25 and 70,959.75 is: 155,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.25 : 70,959.75 = 70,959.75 : x
  2. Step 2: Convert to fraction form
    32,297.25/70,959.75 = 70,959.75/x
  3. Step 3: Cross multiply
    32,297.25x = 70,959.75 × 70,959.75
  4. Step 4: Simplify right side
    32,297.25x = 5,035,286,120.06
  5. Step 5: Solve for x
    x = 5,035,286,120.06/32,297.25
  6. Step 6: Final answer
    x = 155,904.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.