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Finding the Third Proportional to 22,906.50 and 49,730

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Solution

The third proportional to 22,906.50 and 49,730 is: 107,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.50 : 49,730 = 49,730 : x
  2. Step 2: Convert to fraction form
    22,906.50/49,730 = 49,730/x
  3. Step 3: Cross multiply
    22,906.50x = 49,730 × 49,730
  4. Step 4: Simplify right side
    22,906.50x = 2,473,072,900
  5. Step 5: Solve for x
    x = 2,473,072,900/22,906.50
  6. Step 6: Final answer
    x = 107,963.81

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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.