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Finding the Third Proportional to 30,132 and 43,830

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Solution

The third proportional to 30,132 and 43,830 is: 63,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132 : 43,830 = 43,830 : x
  2. Step 2: Convert to fraction form
    30,132/43,830 = 43,830/x
  3. Step 3: Cross multiply
    30,132x = 43,830 × 43,830
  4. Step 4: Simplify right side
    30,132x = 1,921,068,900
  5. Step 5: Solve for x
    x = 1,921,068,900/30,132
  6. Step 6: Final answer
    x = 63,755.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.