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Finding the Third Proportional to 34,469 and 53,201

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Solution

The third proportional to 34,469 and 53,201 is: 82,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,469 : 53,201 = 53,201 : x
  2. Step 2: Convert to fraction form
    34,469/53,201 = 53,201/x
  3. Step 3: Cross multiply
    34,469x = 53,201 × 53,201
  4. Step 4: Simplify right side
    34,469x = 2,830,346,401
  5. Step 5: Solve for x
    x = 2,830,346,401/34,469
  6. Step 6: Final answer
    x = 82,112.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.