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Finding the Third Proportional to 30,514 and 44,371

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Solution

The third proportional to 30,514 and 44,371 is: 64,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514 : 44,371 = 44,371 : x
  2. Step 2: Convert to fraction form
    30,514/44,371 = 44,371/x
  3. Step 3: Cross multiply
    30,514x = 44,371 × 44,371
  4. Step 4: Simplify right side
    30,514x = 1,968,785,641
  5. Step 5: Solve for x
    x = 1,968,785,641/30,514
  6. Step 6: Final answer
    x = 64,520.73

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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.