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Finding the Third Proportional to 10,471 and 22,669

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Solution

The third proportional to 10,471 and 22,669 is: 49,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471 : 22,669 = 22,669 : x
  2. Step 2: Convert to fraction form
    10,471/22,669 = 22,669/x
  3. Step 3: Cross multiply
    10,471x = 22,669 × 22,669
  4. Step 4: Simplify right side
    10,471x = 513,883,561
  5. Step 5: Solve for x
    x = 513,883,561/10,471
  6. Step 6: Final answer
    x = 49,076.84

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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.