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Finding the Third Proportional to 35,469 and 54,919.50

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Solution

The third proportional to 35,469 and 54,919.50 is: 85,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,469 : 54,919.50 = 54,919.50 : x
  2. Step 2: Convert to fraction form
    35,469/54,919.50 = 54,919.50/x
  3. Step 3: Cross multiply
    35,469x = 54,919.50 × 54,919.50
  4. Step 4: Simplify right side
    35,469x = 3,016,151,480.25
  5. Step 5: Solve for x
    x = 3,016,151,480.25/35,469
  6. Step 6: Final answer
    x = 85,036.27

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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.