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Finding the Third Proportional to 6,778.69 and 15,746.91

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Solution

The third proportional to 6,778.69 and 15,746.91 is: 36,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.69 : 15,746.91 = 15,746.91 : x
  2. Step 2: Convert to fraction form
    6,778.69/15,746.91 = 15,746.91/x
  3. Step 3: Cross multiply
    6,778.69x = 15,746.91 × 15,746.91
  4. Step 4: Simplify right side
    6,778.69x = 247,965,056.45
  5. Step 5: Solve for x
    x = 247,965,056.45/6,778.69
  6. Step 6: Final answer
    x = 36,580.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.