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Finding the Third Proportional to 35,102 and 53,697

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Solution

The third proportional to 35,102 and 53,697 is: 82,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102 : 53,697 = 53,697 : x
  2. Step 2: Convert to fraction form
    35,102/53,697 = 53,697/x
  3. Step 3: Cross multiply
    35,102x = 53,697 × 53,697
  4. Step 4: Simplify right side
    35,102x = 2,883,367,809
  5. Step 5: Solve for x
    x = 2,883,367,809/35,102
  6. Step 6: Final answer
    x = 82,142.55

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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.