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Finding the Third Proportional to 4,015.73 and 8,774.70

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Solution

The third proportional to 4,015.73 and 8,774.70 is: 19,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.73 : 8,774.70 = 8,774.70 : x
  2. Step 2: Convert to fraction form
    4,015.73/8,774.70 = 8,774.70/x
  3. Step 3: Cross multiply
    4,015.73x = 8,774.70 × 8,774.70
  4. Step 4: Simplify right side
    4,015.73x = 76,995,303.53
  5. Step 5: Solve for x
    x = 76,995,303.53/4,015.73
  6. Step 6: Final answer
    x = 19,173.43

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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.