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Finding the Third Proportional to 33,265.69 and 72,064.69

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Solution

The third proportional to 33,265.69 and 72,064.69 is: 156,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265.69 : 72,064.69 = 72,064.69 : x
  2. Step 2: Convert to fraction form
    33,265.69/72,064.69 = 72,064.69/x
  3. Step 3: Cross multiply
    33,265.69x = 72,064.69 × 72,064.69
  4. Step 4: Simplify right side
    33,265.69x = 5,193,319,184.47
  5. Step 5: Solve for x
    x = 5,193,319,184.47/33,265.69
  6. Step 6: Final answer
    x = 156,116.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.