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Finding the Third Proportional to 12,099 and 26,271

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Solution

The third proportional to 12,099 and 26,271 is: 57,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 26,271 = 26,271 : x
  2. Step 2: Convert to fraction form
    12,099/26,271 = 26,271/x
  3. Step 3: Cross multiply
    12,099x = 26,271 × 26,271
  4. Step 4: Simplify right side
    12,099x = 690,165,441
  5. Step 5: Solve for x
    x = 690,165,441/12,099
  6. Step 6: Final answer
    x = 57,043.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.