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Finding the Third Proportional to 10,097 and 21,917

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Solution

The third proportional to 10,097 and 21,917 is: 47,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097 : 21,917 = 21,917 : x
  2. Step 2: Convert to fraction form
    10,097/21,917 = 21,917/x
  3. Step 3: Cross multiply
    10,097x = 21,917 × 21,917
  4. Step 4: Simplify right side
    10,097x = 480,354,889
  5. Step 5: Solve for x
    x = 480,354,889/10,097
  6. Step 6: Final answer
    x = 47,574.02

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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.