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Finding the Third Proportional to 22,156 and 32,914

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Solution

The third proportional to 22,156 and 32,914 is: 48,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 32,914 = 32,914 : x
  2. Step 2: Convert to fraction form
    22,156/32,914 = 32,914/x
  3. Step 3: Cross multiply
    22,156x = 32,914 × 32,914
  4. Step 4: Simplify right side
    22,156x = 1,083,331,396
  5. Step 5: Solve for x
    x = 1,083,331,396/22,156
  6. Step 6: Final answer
    x = 48,895.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.