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Finding the Third Proportional to 35,493 and 54,949.50

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Solution

The third proportional to 35,493 and 54,949.50 is: 85,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493 : 54,949.50 = 54,949.50 : x
  2. Step 2: Convert to fraction form
    35,493/54,949.50 = 54,949.50/x
  3. Step 3: Cross multiply
    35,493x = 54,949.50 × 54,949.50
  4. Step 4: Simplify right side
    35,493x = 3,019,447,550.25
  5. Step 5: Solve for x
    x = 3,019,447,550.25/35,493
  6. Step 6: Final answer
    x = 85,071.64

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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.