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Finding the Third Proportional to 19,899 and 43,311

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Solution

The third proportional to 19,899 and 43,311 is: 94,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,899 : 43,311 = 43,311 : x
  2. Step 2: Convert to fraction form
    19,899/43,311 = 43,311/x
  3. Step 3: Cross multiply
    19,899x = 43,311 × 43,311
  4. Step 4: Simplify right side
    19,899x = 1,875,842,721
  5. Step 5: Solve for x
    x = 1,875,842,721/19,899
  6. Step 6: Final answer
    x = 94,268.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.