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Finding the Third Proportional to 22,637.27 and 49,163.72

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Solution

The third proportional to 22,637.27 and 49,163.72 is: 106,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.27 : 49,163.72 = 49,163.72 : x
  2. Step 2: Convert to fraction form
    22,637.27/49,163.72 = 49,163.72/x
  3. Step 3: Cross multiply
    22,637.27x = 49,163.72 × 49,163.72
  4. Step 4: Simplify right side
    22,637.27x = 2,417,071,097.29
  5. Step 5: Solve for x
    x = 2,417,071,097.29/22,637.27
  6. Step 6: Final answer
    x = 106,773.99

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Why These Related Problems?

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