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Finding the Third Proportional to 38,786.25 and 59,307.38

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Solution

The third proportional to 38,786.25 and 59,307.38 is: 90,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786.25 : 59,307.38 = 59,307.38 : x
  2. Step 2: Convert to fraction form
    38,786.25/59,307.38 = 59,307.38/x
  3. Step 3: Cross multiply
    38,786.25x = 59,307.38 × 59,307.38
  4. Step 4: Simplify right side
    38,786.25x = 3,517,364,729.39
  5. Step 5: Solve for x
    x = 3,517,364,729.39/38,786.25
  6. Step 6: Final answer
    x = 90,685.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.