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Finding the Third Proportional to 38,226.75 and 49,955.25

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Solution

The third proportional to 38,226.75 and 49,955.25 is: 65,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226.75 : 49,955.25 = 49,955.25 : x
  2. Step 2: Convert to fraction form
    38,226.75/49,955.25 = 49,955.25/x
  3. Step 3: Cross multiply
    38,226.75x = 49,955.25 × 49,955.25
  4. Step 4: Simplify right side
    38,226.75x = 2,495,527,002.56
  5. Step 5: Solve for x
    x = 2,495,527,002.56/38,226.75
  6. Step 6: Final answer
    x = 65,282.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.