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Finding the Third Proportional to 2,729.48 and 5,853.00

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Solution

The third proportional to 2,729.48 and 5,853.00 is: 12,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.48 : 5,853.00 = 5,853.00 : x
  2. Step 2: Convert to fraction form
    2,729.48/5,853.00 = 5,853.00/x
  3. Step 3: Cross multiply
    2,729.48x = 5,853.00 × 5,853.00
  4. Step 4: Simplify right side
    2,729.48x = 34,257,626.15
  5. Step 5: Solve for x
    x = 34,257,626.15/2,729.48
  6. Step 6: Final answer
    x = 12,550.98

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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.