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Finding the Third Proportional to 31,676.06 and 67,240.13

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Solution

The third proportional to 31,676.06 and 67,240.13 is: 142,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.06 : 67,240.13 = 67,240.13 : x
  2. Step 2: Convert to fraction form
    31,676.06/67,240.13 = 67,240.13/x
  3. Step 3: Cross multiply
    31,676.06x = 67,240.13 × 67,240.13
  4. Step 4: Simplify right side
    31,676.06x = 4,521,234,410.02
  5. Step 5: Solve for x
    x = 4,521,234,410.02/31,676.06
  6. Step 6: Final answer
    x = 142,733.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.