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Finding the Third Proportional to 25,257 and 54,948

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Solution

The third proportional to 25,257 and 54,948 is: 119,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257 : 54,948 = 54,948 : x
  2. Step 2: Convert to fraction form
    25,257/54,948 = 54,948/x
  3. Step 3: Cross multiply
    25,257x = 54,948 × 54,948
  4. Step 4: Simplify right side
    25,257x = 3,019,282,704
  5. Step 5: Solve for x
    x = 3,019,282,704/25,257
  6. Step 6: Final answer
    x = 119,542.41

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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.