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Finding the Third Proportional to 46,410.50 and 74,727.75

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Solution

The third proportional to 46,410.50 and 74,727.75 is: 120,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.50 : 74,727.75 = 74,727.75 : x
  2. Step 2: Convert to fraction form
    46,410.50/74,727.75 = 74,727.75/x
  3. Step 3: Cross multiply
    46,410.50x = 74,727.75 × 74,727.75
  4. Step 4: Simplify right side
    46,410.50x = 5,584,236,620.06
  5. Step 5: Solve for x
    x = 5,584,236,620.06/46,410.50
  6. Step 6: Final answer
    x = 120,322.70

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.