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Finding the Third Proportional to 35,184.38 and 52,768.97

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Solution

The third proportional to 35,184.38 and 52,768.97 is: 79,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,184.38 : 52,768.97 = 52,768.97 : x
  2. Step 2: Convert to fraction form
    35,184.38/52,768.97 = 52,768.97/x
  3. Step 3: Cross multiply
    35,184.38x = 52,768.97 × 52,768.97
  4. Step 4: Simplify right side
    35,184.38x = 2,784,564,062.94
  5. Step 5: Solve for x
    x = 2,784,564,062.94/35,184.38
  6. Step 6: Final answer
    x = 79,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.