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Finding the Third Proportional to 12,046.85 and 26,161.10

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Solution

The third proportional to 12,046.85 and 26,161.10 is: 56,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.85 : 26,161.10 = 26,161.10 : x
  2. Step 2: Convert to fraction form
    12,046.85/26,161.10 = 26,161.10/x
  3. Step 3: Cross multiply
    12,046.85x = 26,161.10 × 26,161.10
  4. Step 4: Simplify right side
    12,046.85x = 684,403,234.96
  5. Step 5: Solve for x
    x = 684,403,234.96/12,046.85
  6. Step 6: Final answer
    x = 56,811.79

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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.