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Finding the Third Proportional to 8,019.75 and 19,320.38

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Solution

The third proportional to 8,019.75 and 19,320.38 is: 46,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.75 : 19,320.38 = 19,320.38 : x
  2. Step 2: Convert to fraction form
    8,019.75/19,320.38 = 19,320.38/x
  3. Step 3: Cross multiply
    8,019.75x = 19,320.38 × 19,320.38
  4. Step 4: Simplify right side
    8,019.75x = 373,276,890.14
  5. Step 5: Solve for x
    x = 373,276,890.14/8,019.75
  6. Step 6: Final answer
    x = 46,544.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.