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Finding the Third Proportional to 34,859 and 54,051

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Solution

The third proportional to 34,859 and 54,051 is: 83,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,859 : 54,051 = 54,051 : x
  2. Step 2: Convert to fraction form
    34,859/54,051 = 54,051/x
  3. Step 3: Cross multiply
    34,859x = 54,051 × 54,051
  4. Step 4: Simplify right side
    34,859x = 2,921,510,601
  5. Step 5: Solve for x
    x = 2,921,510,601/34,859
  6. Step 6: Final answer
    x = 83,809.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.