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Finding the Third Proportional to 35,298 and 53,027

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Solution

The third proportional to 35,298 and 53,027 is: 79,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,298 : 53,027 = 53,027 : x
  2. Step 2: Convert to fraction form
    35,298/53,027 = 53,027/x
  3. Step 3: Cross multiply
    35,298x = 53,027 × 53,027
  4. Step 4: Simplify right side
    35,298x = 2,811,862,729
  5. Step 5: Solve for x
    x = 2,811,862,729/35,298
  6. Step 6: Final answer
    x = 79,660.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.