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Finding the Third Proportional to 10,440 and 22,891

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Solution

The third proportional to 10,440 and 22,891 is: 50,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440 : 22,891 = 22,891 : x
  2. Step 2: Convert to fraction form
    10,440/22,891 = 22,891/x
  3. Step 3: Cross multiply
    10,440x = 22,891 × 22,891
  4. Step 4: Simplify right side
    10,440x = 523,997,881
  5. Step 5: Solve for x
    x = 523,997,881/10,440
  6. Step 6: Final answer
    x = 50,191.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.