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Finding the Third Proportional to 19,585 and 43,530

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Solution

The third proportional to 19,585 and 43,530 is: 96,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585 : 43,530 = 43,530 : x
  2. Step 2: Convert to fraction form
    19,585/43,530 = 43,530/x
  3. Step 3: Cross multiply
    19,585x = 43,530 × 43,530
  4. Step 4: Simplify right side
    19,585x = 1,894,860,900
  5. Step 5: Solve for x
    x = 1,894,860,900/19,585
  6. Step 6: Final answer
    x = 96,750.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.