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Finding the Third Proportional to 22,905.19 and 49,273.13

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Solution

The third proportional to 22,905.19 and 49,273.13 is: 105,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.19 : 49,273.13 = 49,273.13 : x
  2. Step 2: Convert to fraction form
    22,905.19/49,273.13 = 49,273.13/x
  3. Step 3: Cross multiply
    22,905.19x = 49,273.13 × 49,273.13
  4. Step 4: Simplify right side
    22,905.19x = 2,427,840,847.27
  5. Step 5: Solve for x
    x = 2,427,840,847.27/22,905.19
  6. Step 6: Final answer
    x = 105,995.24

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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.