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Finding the Third Proportional to 25,486.50 and 54,009.75

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Solution

The third proportional to 25,486.50 and 54,009.75 is: 114,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486.50 : 54,009.75 = 54,009.75 : x
  2. Step 2: Convert to fraction form
    25,486.50/54,009.75 = 54,009.75/x
  3. Step 3: Cross multiply
    25,486.50x = 54,009.75 × 54,009.75
  4. Step 4: Simplify right side
    25,486.50x = 2,917,053,095.06
  5. Step 5: Solve for x
    x = 2,917,053,095.06/25,486.50
  6. Step 6: Final answer
    x = 114,454.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.