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Finding the Third Proportional to 16,229.25 and 34,881.75

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Solution

The third proportional to 16,229.25 and 34,881.75 is: 74,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.25 : 34,881.75 = 34,881.75 : x
  2. Step 2: Convert to fraction form
    16,229.25/34,881.75 = 34,881.75/x
  3. Step 3: Cross multiply
    16,229.25x = 34,881.75 × 34,881.75
  4. Step 4: Simplify right side
    16,229.25x = 1,216,736,483.06
  5. Step 5: Solve for x
    x = 1,216,736,483.06/16,229.25
  6. Step 6: Final answer
    x = 74,971.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.