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Finding the Third Proportional to 30,350 and 61,904

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Solution

The third proportional to 30,350 and 61,904 is: 126,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,350 : 61,904 = 61,904 : x
  2. Step 2: Convert to fraction form
    30,350/61,904 = 61,904/x
  3. Step 3: Cross multiply
    30,350x = 61,904 × 61,904
  4. Step 4: Simplify right side
    30,350x = 3,832,105,216
  5. Step 5: Solve for x
    x = 3,832,105,216/30,350
  6. Step 6: Final answer
    x = 126,263.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.