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Finding the Third Proportional to 38,251.75 and 83,307.75

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Solution

The third proportional to 38,251.75 and 83,307.75 is: 181,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,251.75 : 83,307.75 = 83,307.75 : x
  2. Step 2: Convert to fraction form
    38,251.75/83,307.75 = 83,307.75/x
  3. Step 3: Cross multiply
    38,251.75x = 83,307.75 × 83,307.75
  4. Step 4: Simplify right side
    38,251.75x = 6,940,181,210.06
  5. Step 5: Solve for x
    x = 6,940,181,210.06/38,251.75
  6. Step 6: Final answer
    x = 181,434.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.