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Finding the Third Proportional to 35,464.50 and 54,910.13

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Solution

The third proportional to 35,464.50 and 54,910.13 is: 85,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.50 : 54,910.13 = 54,910.13 : x
  2. Step 2: Convert to fraction form
    35,464.50/54,910.13 = 54,910.13/x
  3. Step 3: Cross multiply
    35,464.50x = 54,910.13 × 54,910.13
  4. Step 4: Simplify right side
    35,464.50x = 3,015,121,827.52
  5. Step 5: Solve for x
    x = 3,015,121,827.52/35,464.50
  6. Step 6: Final answer
    x = 85,018.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.