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Finding the Third Proportional to 41,445 and 56,274.75

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Solution

The third proportional to 41,445 and 56,274.75 is: 76,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,445 : 56,274.75 = 56,274.75 : x
  2. Step 2: Convert to fraction form
    41,445/56,274.75 = 56,274.75/x
  3. Step 3: Cross multiply
    41,445x = 56,274.75 × 56,274.75
  4. Step 4: Simplify right side
    41,445x = 3,166,847,487.56
  5. Step 5: Solve for x
    x = 3,166,847,487.56/41,445
  6. Step 6: Final answer
    x = 76,410.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.