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Finding the Third Proportional to 24,523 and 53,110

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Solution

The third proportional to 24,523 and 53,110 is: 115,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523 : 53,110 = 53,110 : x
  2. Step 2: Convert to fraction form
    24,523/53,110 = 53,110/x
  3. Step 3: Cross multiply
    24,523x = 53,110 × 53,110
  4. Step 4: Simplify right side
    24,523x = 2,820,672,100
  5. Step 5: Solve for x
    x = 2,820,672,100/24,523
  6. Step 6: Final answer
    x = 115,021.49

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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.