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Finding the Third Proportional to 38,097.56 and 87,619.50

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Solution

The third proportional to 38,097.56 and 87,619.50 is: 201,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.56 : 87,619.50 = 87,619.50 : x
  2. Step 2: Convert to fraction form
    38,097.56/87,619.50 = 87,619.50/x
  3. Step 3: Cross multiply
    38,097.56x = 87,619.50 × 87,619.50
  4. Step 4: Simplify right side
    38,097.56x = 7,677,176,780.25
  5. Step 5: Solve for x
    x = 7,677,176,780.25/38,097.56
  6. Step 6: Final answer
    x = 201,513.60

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.