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Finding the Third Proportional to 34,062 and 53,163

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Solution

The third proportional to 34,062 and 53,163 is: 82,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,062 : 53,163 = 53,163 : x
  2. Step 2: Convert to fraction form
    34,062/53,163 = 53,163/x
  3. Step 3: Cross multiply
    34,062x = 53,163 × 53,163
  4. Step 4: Simplify right side
    34,062x = 2,826,304,569
  5. Step 5: Solve for x
    x = 2,826,304,569/34,062
  6. Step 6: Final answer
    x = 82,975.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.