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Finding the Third Proportional to 43,453.50 and 58,198.50

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Solution

The third proportional to 43,453.50 and 58,198.50 is: 77,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,453.50 : 58,198.50 = 58,198.50 : x
  2. Step 2: Convert to fraction form
    43,453.50/58,198.50 = 58,198.50/x
  3. Step 3: Cross multiply
    43,453.50x = 58,198.50 × 58,198.50
  4. Step 4: Simplify right side
    43,453.50x = 3,387,065,402.25
  5. Step 5: Solve for x
    x = 3,387,065,402.25/43,453.50
  6. Step 6: Final answer
    x = 77,946.90

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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.