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Finding the Third Proportional to 33,706.13 and 51,175.13

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Solution

The third proportional to 33,706.13 and 51,175.13 is: 77,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.13 : 51,175.13 = 51,175.13 : x
  2. Step 2: Convert to fraction form
    33,706.13/51,175.13 = 51,175.13/x
  3. Step 3: Cross multiply
    33,706.13x = 51,175.13 × 51,175.13
  4. Step 4: Simplify right side
    33,706.13x = 2,618,893,418.77
  5. Step 5: Solve for x
    x = 2,618,893,418.77/33,706.13
  6. Step 6: Final answer
    x = 77,697.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.