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Finding the Third Proportional to 25,105.50 and 54,097.50

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Solution

The third proportional to 25,105.50 and 54,097.50 is: 116,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.50 : 54,097.50 = 54,097.50 : x
  2. Step 2: Convert to fraction form
    25,105.50/54,097.50 = 54,097.50/x
  3. Step 3: Cross multiply
    25,105.50x = 54,097.50 × 54,097.50
  4. Step 4: Simplify right side
    25,105.50x = 2,926,539,506.25
  5. Step 5: Solve for x
    x = 2,926,539,506.25/25,105.50
  6. Step 6: Final answer
    x = 116,569.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.