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Finding the Third Proportional to 30,446 and 40,727

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Solution

The third proportional to 30,446 and 40,727 is: 54,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446 : 40,727 = 40,727 : x
  2. Step 2: Convert to fraction form
    30,446/40,727 = 40,727/x
  3. Step 3: Cross multiply
    30,446x = 40,727 × 40,727
  4. Step 4: Simplify right side
    30,446x = 1,658,688,529
  5. Step 5: Solve for x
    x = 1,658,688,529/30,446
  6. Step 6: Final answer
    x = 54,479.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.