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Finding the Third Proportional to 8,823.94 and 18,862.31

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Solution

The third proportional to 8,823.94 and 18,862.31 is: 40,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.94 : 18,862.31 = 18,862.31 : x
  2. Step 2: Convert to fraction form
    8,823.94/18,862.31 = 18,862.31/x
  3. Step 3: Cross multiply
    8,823.94x = 18,862.31 × 18,862.31
  4. Step 4: Simplify right side
    8,823.94x = 355,786,832.85
  5. Step 5: Solve for x
    x = 355,786,832.85/8,823.94
  6. Step 6: Final answer
    x = 40,320.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.