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Finding the Third Proportional to 38,875.88 and 83,436.75

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Solution

The third proportional to 38,875.88 and 83,436.75 is: 179,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,875.88 : 83,436.75 = 83,436.75 : x
  2. Step 2: Convert to fraction form
    38,875.88/83,436.75 = 83,436.75/x
  3. Step 3: Cross multiply
    38,875.88x = 83,436.75 × 83,436.75
  4. Step 4: Simplify right side
    38,875.88x = 6,961,691,250.56
  5. Step 5: Solve for x
    x = 6,961,691,250.56/38,875.88
  6. Step 6: Final answer
    x = 179,074.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.