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Finding the Third Proportional to 9,097 and 18,769

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Solution

The third proportional to 9,097 and 18,769 is: 38,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097 : 18,769 = 18,769 : x
  2. Step 2: Convert to fraction form
    9,097/18,769 = 18,769/x
  3. Step 3: Cross multiply
    9,097x = 18,769 × 18,769
  4. Step 4: Simplify right side
    9,097x = 352,275,361
  5. Step 5: Solve for x
    x = 352,275,361/9,097
  6. Step 6: Final answer
    x = 38,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.