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Finding the Third Proportional to 6,046.31 and 12,214.13

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Solution

The third proportional to 6,046.31 and 12,214.13 is: 24,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.31 : 12,214.13 = 12,214.13 : x
  2. Step 2: Convert to fraction form
    6,046.31/12,214.13 = 12,214.13/x
  3. Step 3: Cross multiply
    6,046.31x = 12,214.13 × 12,214.13
  4. Step 4: Simplify right side
    6,046.31x = 149,184,849.52
  5. Step 5: Solve for x
    x = 149,184,849.52/6,046.31
  6. Step 6: Final answer
    x = 24,673.69

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.