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Finding the Third Proportional to 35,399 and 53,372

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Solution

The third proportional to 35,399 and 53,372 is: 80,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,399 : 53,372 = 53,372 : x
  2. Step 2: Convert to fraction form
    35,399/53,372 = 53,372/x
  3. Step 3: Cross multiply
    35,399x = 53,372 × 53,372
  4. Step 4: Simplify right side
    35,399x = 2,848,570,384
  5. Step 5: Solve for x
    x = 2,848,570,384/35,399
  6. Step 6: Final answer
    x = 80,470.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.