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Finding the Third Proportional to 43,296.50 and 64,771

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Solution

The third proportional to 43,296.50 and 64,771 is: 96,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,296.50 : 64,771 = 64,771 : x
  2. Step 2: Convert to fraction form
    43,296.50/64,771 = 64,771/x
  3. Step 3: Cross multiply
    43,296.50x = 64,771 × 64,771
  4. Step 4: Simplify right side
    43,296.50x = 4,195,282,441
  5. Step 5: Solve for x
    x = 4,195,282,441/43,296.50
  6. Step 6: Final answer
    x = 96,896.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.