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Finding the Third Proportional to 38,884.50 and 91,054.50

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Solution

The third proportional to 38,884.50 and 91,054.50 is: 213,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.50 : 91,054.50 = 91,054.50 : x
  2. Step 2: Convert to fraction form
    38,884.50/91,054.50 = 91,054.50/x
  3. Step 3: Cross multiply
    38,884.50x = 91,054.50 × 91,054.50
  4. Step 4: Simplify right side
    38,884.50x = 8,290,921,970.25
  5. Step 5: Solve for x
    x = 8,290,921,970.25/38,884.50
  6. Step 6: Final answer
    x = 213,219.20

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.