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Finding the Third Proportional to 4,083.81 and 8,859.13

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Solution

The third proportional to 4,083.81 and 8,859.13 is: 19,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.81 : 8,859.13 = 8,859.13 : x
  2. Step 2: Convert to fraction form
    4,083.81/8,859.13 = 8,859.13/x
  3. Step 3: Cross multiply
    4,083.81x = 8,859.13 × 8,859.13
  4. Step 4: Simplify right side
    4,083.81x = 78,484,095.77
  5. Step 5: Solve for x
    x = 78,484,095.77/4,083.81
  6. Step 6: Final answer
    x = 19,218.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.