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Finding the Third Proportional to 35,134 and 53,996

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Solution

The third proportional to 35,134 and 53,996 is: 82,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,134 : 53,996 = 53,996 : x
  2. Step 2: Convert to fraction form
    35,134/53,996 = 53,996/x
  3. Step 3: Cross multiply
    35,134x = 53,996 × 53,996
  4. Step 4: Simplify right side
    35,134x = 2,915,568,016
  5. Step 5: Solve for x
    x = 2,915,568,016/35,134
  6. Step 6: Final answer
    x = 82,984.23

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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.