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Finding the Third Proportional to 34,470.56 and 50,154.19

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Solution

The third proportional to 34,470.56 and 50,154.19 is: 72,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,470.56 : 50,154.19 = 50,154.19 : x
  2. Step 2: Convert to fraction form
    34,470.56/50,154.19 = 50,154.19/x
  3. Step 3: Cross multiply
    34,470.56x = 50,154.19 × 50,154.19
  4. Step 4: Simplify right side
    34,470.56x = 2,515,442,523.79
  5. Step 5: Solve for x
    x = 2,515,442,523.79/34,470.56
  6. Step 6: Final answer
    x = 72,973.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.