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Finding the Third Proportional to 38,011.50 and 88,089.75

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Solution

The third proportional to 38,011.50 and 88,089.75 is: 204,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.50 : 88,089.75 = 88,089.75 : x
  2. Step 2: Convert to fraction form
    38,011.50/88,089.75 = 88,089.75/x
  3. Step 3: Cross multiply
    38,011.50x = 88,089.75 × 88,089.75
  4. Step 4: Simplify right side
    38,011.50x = 7,759,804,055.06
  5. Step 5: Solve for x
    x = 7,759,804,055.06/38,011.50
  6. Step 6: Final answer
    x = 204,143.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.