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Finding the Third Proportional to 30,586 and 44,186

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Solution

The third proportional to 30,586 and 44,186 is: 63,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586 : 44,186 = 44,186 : x
  2. Step 2: Convert to fraction form
    30,586/44,186 = 44,186/x
  3. Step 3: Cross multiply
    30,586x = 44,186 × 44,186
  4. Step 4: Simplify right side
    30,586x = 1,952,402,596
  5. Step 5: Solve for x
    x = 1,952,402,596/30,586
  6. Step 6: Final answer
    x = 63,833.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.