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Finding the Third Proportional to 2,810.25 and 6,105.94

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Solution

The third proportional to 2,810.25 and 6,105.94 is: 13,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.25 : 6,105.94 = 6,105.94 : x
  2. Step 2: Convert to fraction form
    2,810.25/6,105.94 = 6,105.94/x
  3. Step 3: Cross multiply
    2,810.25x = 6,105.94 × 6,105.94
  4. Step 4: Simplify right side
    2,810.25x = 37,282,472.75
  5. Step 5: Solve for x
    x = 37,282,472.75/2,810.25
  6. Step 6: Final answer
    x = 13,266.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.