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Finding the Third Proportional to 40,479.75 and 43,476.75

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Solution

The third proportional to 40,479.75 and 43,476.75 is: 46,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,479.75 : 43,476.75 = 43,476.75 : x
  2. Step 2: Convert to fraction form
    40,479.75/43,476.75 = 43,476.75/x
  3. Step 3: Cross multiply
    40,479.75x = 43,476.75 × 43,476.75
  4. Step 4: Simplify right side
    40,479.75x = 1,890,227,790.56
  5. Step 5: Solve for x
    x = 1,890,227,790.56/40,479.75
  6. Step 6: Final answer
    x = 46,695.64

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.