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Finding the Third Proportional to 9,868 and 21,314

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Solution

The third proportional to 9,868 and 21,314 is: 46,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868 : 21,314 = 21,314 : x
  2. Step 2: Convert to fraction form
    9,868/21,314 = 21,314/x
  3. Step 3: Cross multiply
    9,868x = 21,314 × 21,314
  4. Step 4: Simplify right side
    9,868x = 454,286,596
  5. Step 5: Solve for x
    x = 454,286,596/9,868
  6. Step 6: Final answer
    x = 46,036.34

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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.