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Finding the Third Proportional to 33,086.25 and 49,929.75

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Solution

The third proportional to 33,086.25 and 49,929.75 is: 75,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.25 : 49,929.75 = 49,929.75 : x
  2. Step 2: Convert to fraction form
    33,086.25/49,929.75 = 49,929.75/x
  3. Step 3: Cross multiply
    33,086.25x = 49,929.75 × 49,929.75
  4. Step 4: Simplify right side
    33,086.25x = 2,492,979,935.06
  5. Step 5: Solve for x
    x = 2,492,979,935.06/33,086.25
  6. Step 6: Final answer
    x = 75,347.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.