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Finding the Third Proportional to 9,964 and 21,794

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Solution

The third proportional to 9,964 and 21,794 is: 47,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 21,794 = 21,794 : x
  2. Step 2: Convert to fraction form
    9,964/21,794 = 21,794/x
  3. Step 3: Cross multiply
    9,964x = 21,794 × 21,794
  4. Step 4: Simplify right side
    9,964x = 474,978,436
  5. Step 5: Solve for x
    x = 474,978,436/9,964
  6. Step 6: Final answer
    x = 47,669.45

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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.