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Finding the Third Proportional to 32,466.75 and 51,867

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Solution

The third proportional to 32,466.75 and 51,867 is: 82,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.75 : 51,867 = 51,867 : x
  2. Step 2: Convert to fraction form
    32,466.75/51,867 = 51,867/x
  3. Step 3: Cross multiply
    32,466.75x = 51,867 × 51,867
  4. Step 4: Simplify right side
    32,466.75x = 2,690,185,689
  5. Step 5: Solve for x
    x = 2,690,185,689/32,466.75
  6. Step 6: Final answer
    x = 82,859.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.