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Finding the Third Proportional to 5,498.44 and 10,721.81

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Solution

The third proportional to 5,498.44 and 10,721.81 is: 20,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.44 : 10,721.81 = 10,721.81 : x
  2. Step 2: Convert to fraction form
    5,498.44/10,721.81 = 10,721.81/x
  3. Step 3: Cross multiply
    5,498.44x = 10,721.81 × 10,721.81
  4. Step 4: Simplify right side
    5,498.44x = 114,957,263.29
  5. Step 5: Solve for x
    x = 114,957,263.29/5,498.44
  6. Step 6: Final answer
    x = 20,907.26

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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.