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Finding the Third Proportional to 6,812.86 and 10,669.22

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Solution

The third proportional to 6,812.86 and 10,669.22 is: 16,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.86 : 10,669.22 = 10,669.22 : x
  2. Step 2: Convert to fraction form
    6,812.86/10,669.22 = 10,669.22/x
  3. Step 3: Cross multiply
    6,812.86x = 10,669.22 × 10,669.22
  4. Step 4: Simplify right side
    6,812.86x = 113,832,228.74
  5. Step 5: Solve for x
    x = 113,832,228.74/6,812.86
  6. Step 6: Final answer
    x = 16,708.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.