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Finding the Third Proportional to 5,524 and 14,834

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Solution

The third proportional to 5,524 and 14,834 is: 39,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524 : 14,834 = 14,834 : x
  2. Step 2: Convert to fraction form
    5,524/14,834 = 14,834/x
  3. Step 3: Cross multiply
    5,524x = 14,834 × 14,834
  4. Step 4: Simplify right side
    5,524x = 220,047,556
  5. Step 5: Solve for x
    x = 220,047,556/5,524
  6. Step 6: Final answer
    x = 39,834.82

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.