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Finding the Third Proportional to 34,996 and 53,794

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Solution

The third proportional to 34,996 and 53,794 is: 82,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,996 : 53,794 = 53,794 : x
  2. Step 2: Convert to fraction form
    34,996/53,794 = 53,794/x
  3. Step 3: Cross multiply
    34,996x = 53,794 × 53,794
  4. Step 4: Simplify right side
    34,996x = 2,893,794,436
  5. Step 5: Solve for x
    x = 2,893,794,436/34,996
  6. Step 6: Final answer
    x = 82,689.29

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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.