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Finding the Third Proportional to 30,589 and 44,776

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Solution

The third proportional to 30,589 and 44,776 is: 65,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589 : 44,776 = 44,776 : x
  2. Step 2: Convert to fraction form
    30,589/44,776 = 44,776/x
  3. Step 3: Cross multiply
    30,589x = 44,776 × 44,776
  4. Step 4: Simplify right side
    30,589x = 2,004,890,176
  5. Step 5: Solve for x
    x = 2,004,890,176/30,589
  6. Step 6: Final answer
    x = 65,542.85

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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.