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Finding the Third Proportional to 33,304.50 and 71,332.50

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Solution

The third proportional to 33,304.50 and 71,332.50 is: 152,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,304.50 : 71,332.50 = 71,332.50 : x
  2. Step 2: Convert to fraction form
    33,304.50/71,332.50 = 71,332.50/x
  3. Step 3: Cross multiply
    33,304.50x = 71,332.50 × 71,332.50
  4. Step 4: Simplify right side
    33,304.50x = 5,088,325,556.25
  5. Step 5: Solve for x
    x = 5,088,325,556.25/33,304.50
  6. Step 6: Final answer
    x = 152,781.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.