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Finding the Third Proportional to 49,663.13 and 74,965.50

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Solution

The third proportional to 49,663.13 and 74,965.50 is: 113,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,663.13 : 74,965.50 = 74,965.50 : x
  2. Step 2: Convert to fraction form
    49,663.13/74,965.50 = 74,965.50/x
  3. Step 3: Cross multiply
    49,663.13x = 74,965.50 × 74,965.50
  4. Step 4: Simplify right side
    49,663.13x = 5,619,826,190.25
  5. Step 5: Solve for x
    x = 5,619,826,190.25/49,663.13
  6. Step 6: Final answer
    x = 113,158.93

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