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Finding the Third Proportional to 37,795.50 and 40,977

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Solution

The third proportional to 37,795.50 and 40,977 is: 44,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,795.50 : 40,977 = 40,977 : x
  2. Step 2: Convert to fraction form
    37,795.50/40,977 = 40,977/x
  3. Step 3: Cross multiply
    37,795.50x = 40,977 × 40,977
  4. Step 4: Simplify right side
    37,795.50x = 1,679,114,529
  5. Step 5: Solve for x
    x = 1,679,114,529/37,795.50
  6. Step 6: Final answer
    x = 44,426.31

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.