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Finding the Third Proportional to 12,097 and 17,781

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Solution

The third proportional to 12,097 and 17,781 is: 26,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097 : 17,781 = 17,781 : x
  2. Step 2: Convert to fraction form
    12,097/17,781 = 17,781/x
  3. Step 3: Cross multiply
    12,097x = 17,781 × 17,781
  4. Step 4: Simplify right side
    12,097x = 316,163,961
  5. Step 5: Solve for x
    x = 316,163,961/12,097
  6. Step 6: Final answer
    x = 26,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.