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Finding the Third Proportional to 25,248 and 54,864

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Solution

The third proportional to 25,248 and 54,864 is: 119,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,248 : 54,864 = 54,864 : x
  2. Step 2: Convert to fraction form
    25,248/54,864 = 54,864/x
  3. Step 3: Cross multiply
    25,248x = 54,864 × 54,864
  4. Step 4: Simplify right side
    25,248x = 3,010,058,496
  5. Step 5: Solve for x
    x = 3,010,058,496/25,248
  6. Step 6: Final answer
    x = 119,219.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.