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Finding the Third Proportional to 34,823 and 53,051

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Solution

The third proportional to 34,823 and 53,051 is: 80,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,823 : 53,051 = 53,051 : x
  2. Step 2: Convert to fraction form
    34,823/53,051 = 53,051/x
  3. Step 3: Cross multiply
    34,823x = 53,051 × 53,051
  4. Step 4: Simplify right side
    34,823x = 2,814,408,601
  5. Step 5: Solve for x
    x = 2,814,408,601/34,823
  6. Step 6: Final answer
    x = 80,820.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.