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Finding the Third Proportional to 34,206 and 51,762

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Solution

The third proportional to 34,206 and 51,762 is: 78,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206 : 51,762 = 51,762 : x
  2. Step 2: Convert to fraction form
    34,206/51,762 = 51,762/x
  3. Step 3: Cross multiply
    34,206x = 51,762 × 51,762
  4. Step 4: Simplify right side
    34,206x = 2,679,304,644
  5. Step 5: Solve for x
    x = 2,679,304,644/34,206
  6. Step 6: Final answer
    x = 78,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.