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Finding the Third Proportional to 3,105.84 and 4,427.16

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Solution

The third proportional to 3,105.84 and 4,427.16 is: 6,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.84 : 4,427.16 = 4,427.16 : x
  2. Step 2: Convert to fraction form
    3,105.84/4,427.16 = 4,427.16/x
  3. Step 3: Cross multiply
    3,105.84x = 4,427.16 × 4,427.16
  4. Step 4: Simplify right side
    3,105.84x = 19,599,712.46
  5. Step 5: Solve for x
    x = 19,599,712.46/3,105.84
  6. Step 6: Final answer
    x = 6,310.59

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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.