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Finding the Third Proportional to 10,731 and 22,911

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Solution

The third proportional to 10,731 and 22,911 is: 48,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731 : 22,911 = 22,911 : x
  2. Step 2: Convert to fraction form
    10,731/22,911 = 22,911/x
  3. Step 3: Cross multiply
    10,731x = 22,911 × 22,911
  4. Step 4: Simplify right side
    10,731x = 524,913,921
  5. Step 5: Solve for x
    x = 524,913,921/10,731
  6. Step 6: Final answer
    x = 48,915.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.