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Finding the Third Proportional to 33,496.50 and 45,489.75

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Solution

The third proportional to 33,496.50 and 45,489.75 is: 61,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496.50 : 45,489.75 = 45,489.75 : x
  2. Step 2: Convert to fraction form
    33,496.50/45,489.75 = 45,489.75/x
  3. Step 3: Cross multiply
    33,496.50x = 45,489.75 × 45,489.75
  4. Step 4: Simplify right side
    33,496.50x = 2,069,317,355.06
  5. Step 5: Solve for x
    x = 2,069,317,355.06/33,496.50
  6. Step 6: Final answer
    x = 61,777.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.