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Finding the Third Proportional to 30,514 and 44,781

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Solution

The third proportional to 30,514 and 44,781 is: 65,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514 : 44,781 = 44,781 : x
  2. Step 2: Convert to fraction form
    30,514/44,781 = 44,781/x
  3. Step 3: Cross multiply
    30,514x = 44,781 × 44,781
  4. Step 4: Simplify right side
    30,514x = 2,005,337,961
  5. Step 5: Solve for x
    x = 2,005,337,961/30,514
  6. Step 6: Final answer
    x = 65,718.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.