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Finding the Third Proportional to 13,282 and 19,979

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Solution

The third proportional to 13,282 and 19,979 is: 30,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 19,979 = 19,979 : x
  2. Step 2: Convert to fraction form
    13,282/19,979 = 19,979/x
  3. Step 3: Cross multiply
    13,282x = 19,979 × 19,979
  4. Step 4: Simplify right side
    13,282x = 399,160,441
  5. Step 5: Solve for x
    x = 399,160,441/13,282
  6. Step 6: Final answer
    x = 30,052.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.