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Finding the Third Proportional to 6,584.50 and 8,781

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Solution

The third proportional to 6,584.50 and 8,781 is: 11,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.50 : 8,781 = 8,781 : x
  2. Step 2: Convert to fraction form
    6,584.50/8,781 = 8,781/x
  3. Step 3: Cross multiply
    6,584.50x = 8,781 × 8,781
  4. Step 4: Simplify right side
    6,584.50x = 77,105,961
  5. Step 5: Solve for x
    x = 77,105,961/6,584.50
  6. Step 6: Final answer
    x = 11,710.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.