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Finding the Third Proportional to 38,778.75 and 84,921.75

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Solution

The third proportional to 38,778.75 and 84,921.75 is: 185,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,778.75 : 84,921.75 = 84,921.75 : x
  2. Step 2: Convert to fraction form
    38,778.75/84,921.75 = 84,921.75/x
  3. Step 3: Cross multiply
    38,778.75x = 84,921.75 × 84,921.75
  4. Step 4: Simplify right side
    38,778.75x = 7,211,703,623.06
  5. Step 5: Solve for x
    x = 7,211,703,623.06/38,778.75
  6. Step 6: Final answer
    x = 185,970.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.