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Finding the Third Proportional to 22,508.50 and 49,066.50

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Solution

The third proportional to 22,508.50 and 49,066.50 is: 106,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.50 : 49,066.50 = 49,066.50 : x
  2. Step 2: Convert to fraction form
    22,508.50/49,066.50 = 49,066.50/x
  3. Step 3: Cross multiply
    22,508.50x = 49,066.50 × 49,066.50
  4. Step 4: Simplify right side
    22,508.50x = 2,407,521,422.25
  5. Step 5: Solve for x
    x = 2,407,521,422.25/22,508.50
  6. Step 6: Final answer
    x = 106,960.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.