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Finding the Third Proportional to 22,672.13 and 34,095.38

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Solution

The third proportional to 22,672.13 and 34,095.38 is: 51,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.13 : 34,095.38 = 34,095.38 : x
  2. Step 2: Convert to fraction form
    22,672.13/34,095.38 = 34,095.38/x
  3. Step 3: Cross multiply
    22,672.13x = 34,095.38 × 34,095.38
  4. Step 4: Simplify right side
    22,672.13x = 1,162,494,596.39
  5. Step 5: Solve for x
    x = 1,162,494,596.39/22,672.13
  6. Step 6: Final answer
    x = 51,274.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.