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Finding the Third Proportional to 14,847.75 and 32,016.25

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Solution

The third proportional to 14,847.75 and 32,016.25 is: 69,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.75 : 32,016.25 = 32,016.25 : x
  2. Step 2: Convert to fraction form
    14,847.75/32,016.25 = 32,016.25/x
  3. Step 3: Cross multiply
    14,847.75x = 32,016.25 × 32,016.25
  4. Step 4: Simplify right side
    14,847.75x = 1,025,040,264.06
  5. Step 5: Solve for x
    x = 1,025,040,264.06/14,847.75
  6. Step 6: Final answer
    x = 69,036.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.