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Finding the Third Proportional to 36,885.38 and 56,006.44

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Solution

The third proportional to 36,885.38 and 56,006.44 is: 85,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,885.38 : 56,006.44 = 56,006.44 : x
  2. Step 2: Convert to fraction form
    36,885.38/56,006.44 = 56,006.44/x
  3. Step 3: Cross multiply
    36,885.38x = 56,006.44 × 56,006.44
  4. Step 4: Simplify right side
    36,885.38x = 3,136,721,041.44
  5. Step 5: Solve for x
    x = 3,136,721,041.44/36,885.38
  6. Step 6: Final answer
    x = 85,039.70

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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.