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Finding the Third Proportional to 8,781 and 19,050.25

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Solution

The third proportional to 8,781 and 19,050.25 is: 41,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781 : 19,050.25 = 19,050.25 : x
  2. Step 2: Convert to fraction form
    8,781/19,050.25 = 19,050.25/x
  3. Step 3: Cross multiply
    8,781x = 19,050.25 × 19,050.25
  4. Step 4: Simplify right side
    8,781x = 362,912,025.06
  5. Step 5: Solve for x
    x = 362,912,025.06/8,781
  6. Step 6: Final answer
    x = 41,329.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.