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Finding the Third Proportional to 2,932.52 and 6,108.05

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Solution

The third proportional to 2,932.52 and 6,108.05 is: 12,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.52 : 6,108.05 = 6,108.05 : x
  2. Step 2: Convert to fraction form
    2,932.52/6,108.05 = 6,108.05/x
  3. Step 3: Cross multiply
    2,932.52x = 6,108.05 × 6,108.05
  4. Step 4: Simplify right side
    2,932.52x = 37,308,236.63
  5. Step 5: Solve for x
    x = 37,308,236.63/2,932.52
  6. Step 6: Final answer
    x = 12,722.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.