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Finding the Third Proportional to 31,962.09 and 67,293.91

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Solution

The third proportional to 31,962.09 and 67,293.91 is: 141,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962.09 : 67,293.91 = 67,293.91 : x
  2. Step 2: Convert to fraction form
    31,962.09/67,293.91 = 67,293.91/x
  3. Step 3: Cross multiply
    31,962.09x = 67,293.91 × 67,293.91
  4. Step 4: Simplify right side
    31,962.09x = 4,528,470,869.85
  5. Step 5: Solve for x
    x = 4,528,470,869.85/31,962.09
  6. Step 6: Final answer
    x = 141,682.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.