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Finding the Third Proportional to 20,776.50 and 49,389.75

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Solution

The third proportional to 20,776.50 and 49,389.75 is: 117,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.50 : 49,389.75 = 49,389.75 : x
  2. Step 2: Convert to fraction form
    20,776.50/49,389.75 = 49,389.75/x
  3. Step 3: Cross multiply
    20,776.50x = 49,389.75 × 49,389.75
  4. Step 4: Simplify right side
    20,776.50x = 2,439,347,405.06
  5. Step 5: Solve for x
    x = 2,439,347,405.06/20,776.50
  6. Step 6: Final answer
    x = 117,408.97

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.