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Finding the Third Proportional to 34,949.25 and 54,216

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Solution

The third proportional to 34,949.25 and 54,216 is: 84,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,949.25 : 54,216 = 54,216 : x
  2. Step 2: Convert to fraction form
    34,949.25/54,216 = 54,216/x
  3. Step 3: Cross multiply
    34,949.25x = 54,216 × 54,216
  4. Step 4: Simplify right side
    34,949.25x = 2,939,374,656
  5. Step 5: Solve for x
    x = 2,939,374,656/34,949.25
  6. Step 6: Final answer
    x = 84,104.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.