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Finding the Third Proportional to 10,922 and 23,731

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Solution

The third proportional to 10,922 and 23,731 is: 51,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922 : 23,731 = 23,731 : x
  2. Step 2: Convert to fraction form
    10,922/23,731 = 23,731/x
  3. Step 3: Cross multiply
    10,922x = 23,731 × 23,731
  4. Step 4: Simplify right side
    10,922x = 563,160,361
  5. Step 5: Solve for x
    x = 563,160,361/10,922
  6. Step 6: Final answer
    x = 51,562.02

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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.