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Finding the Third Proportional to 33,983.93 and 52,513.63

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Solution

The third proportional to 33,983.93 and 52,513.63 is: 81,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.93 : 52,513.63 = 52,513.63 : x
  2. Step 2: Convert to fraction form
    33,983.93/52,513.63 = 52,513.63/x
  3. Step 3: Cross multiply
    33,983.93x = 52,513.63 × 52,513.63
  4. Step 4: Simplify right side
    33,983.93x = 2,757,681,220.90
  5. Step 5: Solve for x
    x = 2,757,681,220.90/33,983.93
  6. Step 6: Final answer
    x = 81,146.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.