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Finding the Third Proportional to 22,816.69 and 49,006.69

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Solution

The third proportional to 22,816.69 and 49,006.69 is: 105,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.69 : 49,006.69 = 49,006.69 : x
  2. Step 2: Convert to fraction form
    22,816.69/49,006.69 = 49,006.69/x
  3. Step 3: Cross multiply
    22,816.69x = 49,006.69 × 49,006.69
  4. Step 4: Simplify right side
    22,816.69x = 2,401,655,419.72
  5. Step 5: Solve for x
    x = 2,401,655,419.72/22,816.69
  6. Step 6: Final answer
    x = 105,258.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.