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Finding the Third Proportional to 4,974 and 10,770

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Solution

The third proportional to 4,974 and 10,770 is: 23,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 10,770 = 10,770 : x
  2. Step 2: Convert to fraction form
    4,974/10,770 = 10,770/x
  3. Step 3: Cross multiply
    4,974x = 10,770 × 10,770
  4. Step 4: Simplify right side
    4,974x = 115,992,900
  5. Step 5: Solve for x
    x = 115,992,900/4,974
  6. Step 6: Final answer
    x = 23,319.84

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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.