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Finding the Third Proportional to 4,562 and 9,974

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Solution

The third proportional to 4,562 and 9,974 is: 21,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562 : 9,974 = 9,974 : x
  2. Step 2: Convert to fraction form
    4,562/9,974 = 9,974/x
  3. Step 3: Cross multiply
    4,562x = 9,974 × 9,974
  4. Step 4: Simplify right side
    4,562x = 99,480,676
  5. Step 5: Solve for x
    x = 99,480,676/4,562
  6. Step 6: Final answer
    x = 21,806.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.