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Finding the Third Proportional to 8,560.69 and 13,792.78

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Solution

The third proportional to 8,560.69 and 13,792.78 is: 22,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.69 : 13,792.78 = 13,792.78 : x
  2. Step 2: Convert to fraction form
    8,560.69/13,792.78 = 13,792.78/x
  3. Step 3: Cross multiply
    8,560.69x = 13,792.78 × 13,792.78
  4. Step 4: Simplify right side
    8,560.69x = 190,240,814.61
  5. Step 5: Solve for x
    x = 190,240,814.61/8,560.69
  6. Step 6: Final answer
    x = 22,222.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.