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Finding the Third Proportional to 8,135.44 and 14,473.69

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Solution

The third proportional to 8,135.44 and 14,473.69 is: 25,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.44 : 14,473.69 = 14,473.69 : x
  2. Step 2: Convert to fraction form
    8,135.44/14,473.69 = 14,473.69/x
  3. Step 3: Cross multiply
    8,135.44x = 14,473.69 × 14,473.69
  4. Step 4: Simplify right side
    8,135.44x = 209,487,629.85
  5. Step 5: Solve for x
    x = 209,487,629.85/8,135.44
  6. Step 6: Final answer
    x = 25,750.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.