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Finding the Third Proportional to 50,904 and 57,649.50

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Solution

The third proportional to 50,904 and 57,649.50 is: 65,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,904 : 57,649.50 = 57,649.50 : x
  2. Step 2: Convert to fraction form
    50,904/57,649.50 = 57,649.50/x
  3. Step 3: Cross multiply
    50,904x = 57,649.50 × 57,649.50
  4. Step 4: Simplify right side
    50,904x = 3,323,464,850.25
  5. Step 5: Solve for x
    x = 3,323,464,850.25/50,904
  6. Step 6: Final answer
    x = 65,288.87

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.