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Finding the Third Proportional to 49,663.13 and 75,986.86

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Solution

The third proportional to 49,663.13 and 75,986.86 is: 116,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.13 : 75,986.86 = 75,986.86 : x
  2. Step 2: Convert to fraction form
    49,663.13/75,986.86 = 75,986.86/x
  3. Step 3: Cross multiply
    49,663.13x = 75,986.86 × 75,986.86
  4. Step 4: Simplify right side
    49,663.13x = 5,774,002,797.68
  5. Step 5: Solve for x
    x = 5,774,002,797.68/49,663.13
  6. Step 6: Final answer
    x = 116,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.