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Finding the Third Proportional to 33,701.06 and 48,546.84

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Solution

The third proportional to 33,701.06 and 48,546.84 is: 69,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,701.06 : 48,546.84 = 48,546.84 : x
  2. Step 2: Convert to fraction form
    33,701.06/48,546.84 = 48,546.84/x
  3. Step 3: Cross multiply
    33,701.06x = 48,546.84 × 48,546.84
  4. Step 4: Simplify right side
    33,701.06x = 2,356,796,038.09
  5. Step 5: Solve for x
    x = 2,356,796,038.09/33,701.06
  6. Step 6: Final answer
    x = 69,932.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.