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Finding the Third Proportional to 25,172 and 54,843

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Solution

The third proportional to 25,172 and 54,843 is: 119,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172 : 54,843 = 54,843 : x
  2. Step 2: Convert to fraction form
    25,172/54,843 = 54,843/x
  3. Step 3: Cross multiply
    25,172x = 54,843 × 54,843
  4. Step 4: Simplify right side
    25,172x = 3,007,754,649
  5. Step 5: Solve for x
    x = 3,007,754,649/25,172
  6. Step 6: Final answer
    x = 119,488.11

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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.