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Finding the Third Proportional to 40,864.75 and 56,274.75

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Solution

The third proportional to 40,864.75 and 56,274.75 is: 77,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864.75 : 56,274.75 = 56,274.75 : x
  2. Step 2: Convert to fraction form
    40,864.75/56,274.75 = 56,274.75/x
  3. Step 3: Cross multiply
    40,864.75x = 56,274.75 × 56,274.75
  4. Step 4: Simplify right side
    40,864.75x = 3,166,847,487.56
  5. Step 5: Solve for x
    x = 3,166,847,487.56/40,864.75
  6. Step 6: Final answer
    x = 77,495.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.