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Finding the Third Proportional to 10,971 and 23,811

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Solution

The third proportional to 10,971 and 23,811 is: 51,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971 : 23,811 = 23,811 : x
  2. Step 2: Convert to fraction form
    10,971/23,811 = 23,811/x
  3. Step 3: Cross multiply
    10,971x = 23,811 × 23,811
  4. Step 4: Simplify right side
    10,971x = 566,963,721
  5. Step 5: Solve for x
    x = 566,963,721/10,971
  6. Step 6: Final answer
    x = 51,678.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.