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Finding the Third Proportional to 18,097 and 39,289

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Solution

The third proportional to 18,097 and 39,289 is: 85,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097 : 39,289 = 39,289 : x
  2. Step 2: Convert to fraction form
    18,097/39,289 = 39,289/x
  3. Step 3: Cross multiply
    18,097x = 39,289 × 39,289
  4. Step 4: Simplify right side
    18,097x = 1,543,625,521
  5. Step 5: Solve for x
    x = 1,543,625,521/18,097
  6. Step 6: Final answer
    x = 85,297.32

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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.