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Finding the Third Proportional to 25,482 and 54,048

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Solution

The third proportional to 25,482 and 54,048 is: 114,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482 : 54,048 = 54,048 : x
  2. Step 2: Convert to fraction form
    25,482/54,048 = 54,048/x
  3. Step 3: Cross multiply
    25,482x = 54,048 × 54,048
  4. Step 4: Simplify right side
    25,482x = 2,921,186,304
  5. Step 5: Solve for x
    x = 2,921,186,304/25,482
  6. Step 6: Final answer
    x = 114,637.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.