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Finding the Third Proportional to 38,259.84 and 82,047.09

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Solution

The third proportional to 38,259.84 and 82,047.09 is: 175,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,259.84 : 82,047.09 = 82,047.09 : x
  2. Step 2: Convert to fraction form
    38,259.84/82,047.09 = 82,047.09/x
  3. Step 3: Cross multiply
    38,259.84x = 82,047.09 × 82,047.09
  4. Step 4: Simplify right side
    38,259.84x = 6,731,725,592.82
  5. Step 5: Solve for x
    x = 6,731,725,592.82/38,259.84
  6. Step 6: Final answer
    x = 175,947.55

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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.