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Finding the Third Proportional to 2,773.63 and 6,105.13

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Solution

The third proportional to 2,773.63 and 6,105.13 is: 13,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.63 : 6,105.13 = 6,105.13 : x
  2. Step 2: Convert to fraction form
    2,773.63/6,105.13 = 6,105.13/x
  3. Step 3: Cross multiply
    2,773.63x = 6,105.13 × 6,105.13
  4. Step 4: Simplify right side
    2,773.63x = 37,272,551.27
  5. Step 5: Solve for x
    x = 37,272,551.27/2,773.63
  6. Step 6: Final answer
    x = 13,438.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.