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Finding the Third Proportional to 9,974 and 21,583

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Solution

The third proportional to 9,974 and 21,583 is: 46,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974 : 21,583 = 21,583 : x
  2. Step 2: Convert to fraction form
    9,974/21,583 = 21,583/x
  3. Step 3: Cross multiply
    9,974x = 21,583 × 21,583
  4. Step 4: Simplify right side
    9,974x = 465,825,889
  5. Step 5: Solve for x
    x = 465,825,889/9,974
  6. Step 6: Final answer
    x = 46,704.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.