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Finding the Third Proportional to 2,764.02 and 5,840.02

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Solution

The third proportional to 2,764.02 and 5,840.02 is: 12,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.02 : 5,840.02 = 5,840.02 : x
  2. Step 2: Convert to fraction form
    2,764.02/5,840.02 = 5,840.02/x
  3. Step 3: Cross multiply
    2,764.02x = 5,840.02 × 5,840.02
  4. Step 4: Simplify right side
    2,764.02x = 34,105,782.50
  5. Step 5: Solve for x
    x = 34,105,782.50/2,764.02
  6. Step 6: Final answer
    x = 12,339.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.