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Finding the Third Proportional to 15,866 and 34,556

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Solution

The third proportional to 15,866 and 34,556 is: 75,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866 : 34,556 = 34,556 : x
  2. Step 2: Convert to fraction form
    15,866/34,556 = 34,556/x
  3. Step 3: Cross multiply
    15,866x = 34,556 × 34,556
  4. Step 4: Simplify right side
    15,866x = 1,194,117,136
  5. Step 5: Solve for x
    x = 1,194,117,136/15,866
  6. Step 6: Final answer
    x = 75,262.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.