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Finding the Third Proportional to 12,097 and 26,579

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Solution

The third proportional to 12,097 and 26,579 is: 58,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097 : 26,579 = 26,579 : x
  2. Step 2: Convert to fraction form
    12,097/26,579 = 26,579/x
  3. Step 3: Cross multiply
    12,097x = 26,579 × 26,579
  4. Step 4: Simplify right side
    12,097x = 706,443,241
  5. Step 5: Solve for x
    x = 706,443,241/12,097
  6. Step 6: Final answer
    x = 58,398.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.