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Finding the Third Proportional to 10,731 and 22,443

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Solution

The third proportional to 10,731 and 22,443 is: 46,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731 : 22,443 = 22,443 : x
  2. Step 2: Convert to fraction form
    10,731/22,443 = 22,443/x
  3. Step 3: Cross multiply
    10,731x = 22,443 × 22,443
  4. Step 4: Simplify right side
    10,731x = 503,688,249
  5. Step 5: Solve for x
    x = 503,688,249/10,731
  6. Step 6: Final answer
    x = 46,937.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.