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Finding the Third Proportional to 25,488.50 and 54,883

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Solution

The third proportional to 25,488.50 and 54,883 is: 118,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488.50 : 54,883 = 54,883 : x
  2. Step 2: Convert to fraction form
    25,488.50/54,883 = 54,883/x
  3. Step 3: Cross multiply
    25,488.50x = 54,883 × 54,883
  4. Step 4: Simplify right side
    25,488.50x = 3,012,143,689
  5. Step 5: Solve for x
    x = 3,012,143,689/25,488.50
  6. Step 6: Final answer
    x = 118,176.58

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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.