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Finding the Third Proportional to 34,668 and 81,587.25

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Solution

The third proportional to 34,668 and 81,587.25 is: 192,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 81,587.25 = 81,587.25 : x
  2. Step 2: Convert to fraction form
    34,668/81,587.25 = 81,587.25/x
  3. Step 3: Cross multiply
    34,668x = 81,587.25 × 81,587.25
  4. Step 4: Simplify right side
    34,668x = 6,656,479,362.56
  5. Step 5: Solve for x
    x = 6,656,479,362.56/34,668
  6. Step 6: Final answer
    x = 192,006.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.