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Finding the Third Proportional to 9,843 and 21,414

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Solution

The third proportional to 9,843 and 21,414 is: 46,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843 : 21,414 = 21,414 : x
  2. Step 2: Convert to fraction form
    9,843/21,414 = 21,414/x
  3. Step 3: Cross multiply
    9,843x = 21,414 × 21,414
  4. Step 4: Simplify right side
    9,843x = 458,559,396
  5. Step 5: Solve for x
    x = 458,559,396/9,843
  6. Step 6: Final answer
    x = 46,587.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.