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Finding the Third Proportional to 20,585 and 43,830

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Solution

The third proportional to 20,585 and 43,830 is: 93,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585 : 43,830 = 43,830 : x
  2. Step 2: Convert to fraction form
    20,585/43,830 = 43,830/x
  3. Step 3: Cross multiply
    20,585x = 43,830 × 43,830
  4. Step 4: Simplify right side
    20,585x = 1,921,068,900
  5. Step 5: Solve for x
    x = 1,921,068,900/20,585
  6. Step 6: Final answer
    x = 93,323.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.