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Finding the Third Proportional to 24,555 and 37,108.50

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Solution

The third proportional to 24,555 and 37,108.50 is: 56,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,555 : 37,108.50 = 37,108.50 : x
  2. Step 2: Convert to fraction form
    24,555/37,108.50 = 37,108.50/x
  3. Step 3: Cross multiply
    24,555x = 37,108.50 × 37,108.50
  4. Step 4: Simplify right side
    24,555x = 1,377,040,772.25
  5. Step 5: Solve for x
    x = 1,377,040,772.25/24,555
  6. Step 6: Final answer
    x = 56,079.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.