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Finding the Third Proportional to 3,343.78 and 4,792.92

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Solution

The third proportional to 3,343.78 and 4,792.92 is: 6,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.78 : 4,792.92 = 4,792.92 : x
  2. Step 2: Convert to fraction form
    3,343.78/4,792.92 = 4,792.92/x
  3. Step 3: Cross multiply
    3,343.78x = 4,792.92 × 4,792.92
  4. Step 4: Simplify right side
    3,343.78x = 22,972,100.10
  5. Step 5: Solve for x
    x = 22,972,100.10/3,343.78
  6. Step 6: Final answer
    x = 6,870.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.