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Finding the Third Proportional to 4,974 and 11,106

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Solution

The third proportional to 4,974 and 11,106 is: 24,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 11,106 = 11,106 : x
  2. Step 2: Convert to fraction form
    4,974/11,106 = 11,106/x
  3. Step 3: Cross multiply
    4,974x = 11,106 × 11,106
  4. Step 4: Simplify right side
    4,974x = 123,343,236
  5. Step 5: Solve for x
    x = 123,343,236/4,974
  6. Step 6: Final answer
    x = 24,797.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.