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Finding the Third Proportional to 41,764 and 73,604

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Solution

The third proportional to 41,764 and 73,604 is: 129,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,764 : 73,604 = 73,604 : x
  2. Step 2: Convert to fraction form
    41,764/73,604 = 73,604/x
  3. Step 3: Cross multiply
    41,764x = 73,604 × 73,604
  4. Step 4: Simplify right side
    41,764x = 5,417,548,816
  5. Step 5: Solve for x
    x = 5,417,548,816/41,764
  6. Step 6: Final answer
    x = 129,718.15

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.