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Finding the Third Proportional to 13,271 and 27,982

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Solution

The third proportional to 13,271 and 27,982 is: 59,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271 : 27,982 = 27,982 : x
  2. Step 2: Convert to fraction form
    13,271/27,982 = 27,982/x
  3. Step 3: Cross multiply
    13,271x = 27,982 × 27,982
  4. Step 4: Simplify right side
    13,271x = 782,992,324
  5. Step 5: Solve for x
    x = 782,992,324/13,271
  6. Step 6: Final answer
    x = 59,000.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.