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Finding the Third Proportional to 35,430.75 and 54,850.50

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Solution

The third proportional to 35,430.75 and 54,850.50 is: 84,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430.75 : 54,850.50 = 54,850.50 : x
  2. Step 2: Convert to fraction form
    35,430.75/54,850.50 = 54,850.50/x
  3. Step 3: Cross multiply
    35,430.75x = 54,850.50 × 54,850.50
  4. Step 4: Simplify right side
    35,430.75x = 3,008,577,350.25
  5. Step 5: Solve for x
    x = 3,008,577,350.25/35,430.75
  6. Step 6: Final answer
    x = 84,914.30

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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.