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Finding the Third Proportional to 4,005.07 and 8,764.14

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Solution

The third proportional to 4,005.07 and 8,764.14 is: 19,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.07 : 8,764.14 = 8,764.14 : x
  2. Step 2: Convert to fraction form
    4,005.07/8,764.14 = 8,764.14/x
  3. Step 3: Cross multiply
    4,005.07x = 8,764.14 × 8,764.14
  4. Step 4: Simplify right side
    4,005.07x = 76,810,092.42
  5. Step 5: Solve for x
    x = 76,810,092.42/4,005.07
  6. Step 6: Final answer
    x = 19,178.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.