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Finding the Third Proportional to 9,894 and 21,324

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Solution

The third proportional to 9,894 and 21,324 is: 45,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894 : 21,324 = 21,324 : x
  2. Step 2: Convert to fraction form
    9,894/21,324 = 21,324/x
  3. Step 3: Cross multiply
    9,894x = 21,324 × 21,324
  4. Step 4: Simplify right side
    9,894x = 454,712,976
  5. Step 5: Solve for x
    x = 454,712,976/9,894
  6. Step 6: Final answer
    x = 45,958.46

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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.