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Finding the Third Proportional to 33,706.88 and 49,897.13

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Solution

The third proportional to 33,706.88 and 49,897.13 is: 73,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.88 : 49,897.13 = 49,897.13 : x
  2. Step 2: Convert to fraction form
    33,706.88/49,897.13 = 49,897.13/x
  3. Step 3: Cross multiply
    33,706.88x = 49,897.13 × 49,897.13
  4. Step 4: Simplify right side
    33,706.88x = 2,489,723,083.27
  5. Step 5: Solve for x
    x = 2,489,723,083.27/33,706.88
  6. Step 6: Final answer
    x = 73,863.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.