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Finding the Third Proportional to 49,663.13 and 75,633.75

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Solution

The third proportional to 49,663.13 and 75,633.75 is: 115,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.13 : 75,633.75 = 75,633.75 : x
  2. Step 2: Convert to fraction form
    49,663.13/75,633.75 = 75,633.75/x
  3. Step 3: Cross multiply
    49,663.13x = 75,633.75 × 75,633.75
  4. Step 4: Simplify right side
    49,663.13x = 5,720,464,139.06
  5. Step 5: Solve for x
    x = 5,720,464,139.06/49,663.13
  6. Step 6: Final answer
    x = 115,185.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.