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Finding the Third Proportional to 32,545.13 and 67,682.25

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Solution

The third proportional to 32,545.13 and 67,682.25 is: 140,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.13 : 67,682.25 = 67,682.25 : x
  2. Step 2: Convert to fraction form
    32,545.13/67,682.25 = 67,682.25/x
  3. Step 3: Cross multiply
    32,545.13x = 67,682.25 × 67,682.25
  4. Step 4: Simplify right side
    32,545.13x = 4,580,886,965.06
  5. Step 5: Solve for x
    x = 4,580,886,965.06/32,545.13
  6. Step 6: Final answer
    x = 140,754.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.