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Finding the Third Proportional to 2,097 and 2,781

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Solution

The third proportional to 2,097 and 2,781 is: 3,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 2,781 = 2,781 : x
  2. Step 2: Convert to fraction form
    2,097/2,781 = 2,781/x
  3. Step 3: Cross multiply
    2,097x = 2,781 × 2,781
  4. Step 4: Simplify right side
    2,097x = 7,733,961
  5. Step 5: Solve for x
    x = 7,733,961/2,097
  6. Step 6: Final answer
    x = 3,688.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.