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Finding the Third Proportional to 3,175.59 and 6,792.47

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Solution

The third proportional to 3,175.59 and 6,792.47 is: 14,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.59 : 6,792.47 = 6,792.47 : x
  2. Step 2: Convert to fraction form
    3,175.59/6,792.47 = 6,792.47/x
  3. Step 3: Cross multiply
    3,175.59x = 6,792.47 × 6,792.47
  4. Step 4: Simplify right side
    3,175.59x = 46,137,631.72
  5. Step 5: Solve for x
    x = 46,137,631.72/3,175.59
  6. Step 6: Final answer
    x = 14,528.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.