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Finding the Third Proportional to 49,617.56 and 74,887.66

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Solution

The third proportional to 49,617.56 and 74,887.66 is: 113,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,617.56 : 74,887.66 = 74,887.66 : x
  2. Step 2: Convert to fraction form
    49,617.56/74,887.66 = 74,887.66/x
  3. Step 3: Cross multiply
    49,617.56x = 74,887.66 × 74,887.66
  4. Step 4: Simplify right side
    49,617.56x = 5,608,162,228.74
  5. Step 5: Solve for x
    x = 5,608,162,228.74/49,617.56
  6. Step 6: Final answer
    x = 113,027.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.