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Finding the Third Proportional to 33,947.44 and 72,554.06

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Solution

The third proportional to 33,947.44 and 72,554.06 is: 155,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.44 : 72,554.06 = 72,554.06 : x
  2. Step 2: Convert to fraction form
    33,947.44/72,554.06 = 72,554.06/x
  3. Step 3: Cross multiply
    33,947.44x = 72,554.06 × 72,554.06
  4. Step 4: Simplify right side
    33,947.44x = 5,264,091,985.25
  5. Step 5: Solve for x
    x = 5,264,091,985.25/33,947.44
  6. Step 6: Final answer
    x = 155,065.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.