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Finding the Third Proportional to 32,258.25 and 71,284.50

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Solution

The third proportional to 32,258.25 and 71,284.50 is: 157,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,258.25 : 71,284.50 = 71,284.50 : x
  2. Step 2: Convert to fraction form
    32,258.25/71,284.50 = 71,284.50/x
  3. Step 3: Cross multiply
    32,258.25x = 71,284.50 × 71,284.50
  4. Step 4: Simplify right side
    32,258.25x = 5,081,479,940.25
  5. Step 5: Solve for x
    x = 5,081,479,940.25/32,258.25
  6. Step 6: Final answer
    x = 157,524.97

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.