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Finding the Third Proportional to 18,097 and 26,497

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Solution

The third proportional to 18,097 and 26,497 is: 38,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097 : 26,497 = 26,497 : x
  2. Step 2: Convert to fraction form
    18,097/26,497 = 26,497/x
  3. Step 3: Cross multiply
    18,097x = 26,497 × 26,497
  4. Step 4: Simplify right side
    18,097x = 702,091,009
  5. Step 5: Solve for x
    x = 702,091,009/18,097
  6. Step 6: Final answer
    x = 38,795.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.