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Finding the Third Proportional to 37,561.50 and 56,225.25

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Solution

The third proportional to 37,561.50 and 56,225.25 is: 84,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,561.50 : 56,225.25 = 56,225.25 : x
  2. Step 2: Convert to fraction form
    37,561.50/56,225.25 = 56,225.25/x
  3. Step 3: Cross multiply
    37,561.50x = 56,225.25 × 56,225.25
  4. Step 4: Simplify right side
    37,561.50x = 3,161,278,737.56
  5. Step 5: Solve for x
    x = 3,161,278,737.56/37,561.50
  6. Step 6: Final answer
    x = 84,162.74

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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.