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Finding the Third Proportional to 31,599 and 67,093.88

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Solution

The third proportional to 31,599 and 67,093.88 is: 142,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599 : 67,093.88 = 67,093.88 : x
  2. Step 2: Convert to fraction form
    31,599/67,093.88 = 67,093.88/x
  3. Step 3: Cross multiply
    31,599x = 67,093.88 × 67,093.88
  4. Step 4: Simplify right side
    31,599x = 4,501,588,062.52
  5. Step 5: Solve for x
    x = 4,501,588,062.52/31,599
  6. Step 6: Final answer
    x = 142,459.83

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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.