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Finding the Third Proportional to 30,542 and 44,718

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Solution

The third proportional to 30,542 and 44,718 is: 65,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542 : 44,718 = 44,718 : x
  2. Step 2: Convert to fraction form
    30,542/44,718 = 44,718/x
  3. Step 3: Cross multiply
    30,542x = 44,718 × 44,718
  4. Step 4: Simplify right side
    30,542x = 1,999,699,524
  5. Step 5: Solve for x
    x = 1,999,699,524/30,542
  6. Step 6: Final answer
    x = 65,473.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.