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Finding the Third Proportional to 30,744 and 47,700

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Solution

The third proportional to 30,744 and 47,700 is: 74,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744 : 47,700 = 47,700 : x
  2. Step 2: Convert to fraction form
    30,744/47,700 = 47,700/x
  3. Step 3: Cross multiply
    30,744x = 47,700 × 47,700
  4. Step 4: Simplify right side
    30,744x = 2,275,290,000
  5. Step 5: Solve for x
    x = 2,275,290,000/30,744
  6. Step 6: Final answer
    x = 74,007.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.