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Finding the Third Proportional to 5,499 and 10,722.94

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Solution

The third proportional to 5,499 and 10,722.94 is: 20,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499 : 10,722.94 = 10,722.94 : x
  2. Step 2: Convert to fraction form
    5,499/10,722.94 = 10,722.94/x
  3. Step 3: Cross multiply
    5,499x = 10,722.94 × 10,722.94
  4. Step 4: Simplify right side
    5,499x = 114,981,388.63
  5. Step 5: Solve for x
    x = 114,981,388.63/5,499
  6. Step 6: Final answer
    x = 20,909.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.