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Finding the Third Proportional to 57,484.50 and 77,249.25

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Solution

The third proportional to 57,484.50 and 77,249.25 is: 103,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,484.50 : 77,249.25 = 77,249.25 : x
  2. Step 2: Convert to fraction form
    57,484.50/77,249.25 = 77,249.25/x
  3. Step 3: Cross multiply
    57,484.50x = 77,249.25 × 77,249.25
  4. Step 4: Simplify right side
    57,484.50x = 5,967,446,625.56
  5. Step 5: Solve for x
    x = 5,967,446,625.56/57,484.50
  6. Step 6: Final answer
    x = 103,809.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.