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Finding the Third Proportional to 33,172.50 and 69,417.75

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Solution

The third proportional to 33,172.50 and 69,417.75 is: 145,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172.50 : 69,417.75 = 69,417.75 : x
  2. Step 2: Convert to fraction form
    33,172.50/69,417.75 = 69,417.75/x
  3. Step 3: Cross multiply
    33,172.50x = 69,417.75 × 69,417.75
  4. Step 4: Simplify right side
    33,172.50x = 4,818,824,015.06
  5. Step 5: Solve for x
    x = 4,818,824,015.06/33,172.50
  6. Step 6: Final answer
    x = 145,265.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.