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Finding the Third Proportional to 30,163 and 44,341

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Solution

The third proportional to 30,163 and 44,341 is: 65,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163 : 44,341 = 44,341 : x
  2. Step 2: Convert to fraction form
    30,163/44,341 = 44,341/x
  3. Step 3: Cross multiply
    30,163x = 44,341 × 44,341
  4. Step 4: Simplify right side
    30,163x = 1,966,124,281
  5. Step 5: Solve for x
    x = 1,966,124,281/30,163
  6. Step 6: Final answer
    x = 65,183.31

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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.