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Finding the Third Proportional to 19,585 and 29,837

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Solution

The third proportional to 19,585 and 29,837 is: 45,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585 : 29,837 = 29,837 : x
  2. Step 2: Convert to fraction form
    19,585/29,837 = 29,837/x
  3. Step 3: Cross multiply
    19,585x = 29,837 × 29,837
  4. Step 4: Simplify right side
    19,585x = 890,246,569
  5. Step 5: Solve for x
    x = 890,246,569/19,585
  6. Step 6: Final answer
    x = 45,455.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.