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Finding the Third Proportional to 22,145.27 and 47,981.11

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Solution

The third proportional to 22,145.27 and 47,981.11 is: 103,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.27 : 47,981.11 = 47,981.11 : x
  2. Step 2: Convert to fraction form
    22,145.27/47,981.11 = 47,981.11/x
  3. Step 3: Cross multiply
    22,145.27x = 47,981.11 × 47,981.11
  4. Step 4: Simplify right side
    22,145.27x = 2,302,186,856.86
  5. Step 5: Solve for x
    x = 2,302,186,856.86/22,145.27
  6. Step 6: Final answer
    x = 103,958.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.