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Finding the Third Proportional to 8,502.86 and 19,855.58

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Solution

The third proportional to 8,502.86 and 19,855.58 is: 46,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.86 : 19,855.58 = 19,855.58 : x
  2. Step 2: Convert to fraction form
    8,502.86/19,855.58 = 19,855.58/x
  3. Step 3: Cross multiply
    8,502.86x = 19,855.58 × 19,855.58
  4. Step 4: Simplify right side
    8,502.86x = 394,244,050.54
  5. Step 5: Solve for x
    x = 394,244,050.54/8,502.86
  6. Step 6: Final answer
    x = 46,366.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.