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Finding the Third Proportional to 9,744 and 21,331

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Solution

The third proportional to 9,744 and 21,331 is: 46,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 21,331 = 21,331 : x
  2. Step 2: Convert to fraction form
    9,744/21,331 = 21,331/x
  3. Step 3: Cross multiply
    9,744x = 21,331 × 21,331
  4. Step 4: Simplify right side
    9,744x = 455,011,561
  5. Step 5: Solve for x
    x = 455,011,561/9,744
  6. Step 6: Final answer
    x = 46,696.59

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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.