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Finding the Third Proportional to 25,150.50 and 32,258.25

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Solution

The third proportional to 25,150.50 and 32,258.25 is: 41,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.50 : 32,258.25 = 32,258.25 : x
  2. Step 2: Convert to fraction form
    25,150.50/32,258.25 = 32,258.25/x
  3. Step 3: Cross multiply
    25,150.50x = 32,258.25 × 32,258.25
  4. Step 4: Simplify right side
    25,150.50x = 1,040,594,693.06
  5. Step 5: Solve for x
    x = 1,040,594,693.06/25,150.50
  6. Step 6: Final answer
    x = 41,374.71

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.