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Finding the Third Proportional to 43,668.50 and 61,803.50

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Solution

The third proportional to 43,668.50 and 61,803.50 is: 87,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,668.50 : 61,803.50 = 61,803.50 : x
  2. Step 2: Convert to fraction form
    43,668.50/61,803.50 = 61,803.50/x
  3. Step 3: Cross multiply
    43,668.50x = 61,803.50 × 61,803.50
  4. Step 4: Simplify right side
    43,668.50x = 3,819,672,612.25
  5. Step 5: Solve for x
    x = 3,819,672,612.25/43,668.50
  6. Step 6: Final answer
    x = 87,469.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.