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Finding the Third Proportional to 25,188.75 and 54,873

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Solution

The third proportional to 25,188.75 and 54,873 is: 119,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.75 : 54,873 = 54,873 : x
  2. Step 2: Convert to fraction form
    25,188.75/54,873 = 54,873/x
  3. Step 3: Cross multiply
    25,188.75x = 54,873 × 54,873
  4. Step 4: Simplify right side
    25,188.75x = 3,011,046,129
  5. Step 5: Solve for x
    x = 3,011,046,129/25,188.75
  6. Step 6: Final answer
    x = 119,539.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.