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Finding the Third Proportional to 24,974 and 54,556

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Solution

The third proportional to 24,974 and 54,556 is: 119,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974 : 54,556 = 54,556 : x
  2. Step 2: Convert to fraction form
    24,974/54,556 = 54,556/x
  3. Step 3: Cross multiply
    24,974x = 54,556 × 54,556
  4. Step 4: Simplify right side
    24,974x = 2,976,357,136
  5. Step 5: Solve for x
    x = 2,976,357,136/24,974
  6. Step 6: Final answer
    x = 119,178.23

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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.