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Finding the Third Proportional to 34,910 and 53,463

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Solution

The third proportional to 34,910 and 53,463 is: 81,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,910 : 53,463 = 53,463 : x
  2. Step 2: Convert to fraction form
    34,910/53,463 = 53,463/x
  3. Step 3: Cross multiply
    34,910x = 53,463 × 53,463
  4. Step 4: Simplify right side
    34,910x = 2,858,292,369
  5. Step 5: Solve for x
    x = 2,858,292,369/34,910
  6. Step 6: Final answer
    x = 81,876.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.