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Finding the Third Proportional to 25,470 and 54,837

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Solution

The third proportional to 25,470 and 54,837 is: 118,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470 : 54,837 = 54,837 : x
  2. Step 2: Convert to fraction form
    25,470/54,837 = 54,837/x
  3. Step 3: Cross multiply
    25,470x = 54,837 × 54,837
  4. Step 4: Simplify right side
    25,470x = 3,007,096,569
  5. Step 5: Solve for x
    x = 3,007,096,569/25,470
  6. Step 6: Final answer
    x = 118,064.25

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Why These Related Problems?

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