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Finding the Third Proportional to 2,564 and 3,417

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Solution

The third proportional to 2,564 and 3,417 is: 4,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564 : 3,417 = 3,417 : x
  2. Step 2: Convert to fraction form
    2,564/3,417 = 3,417/x
  3. Step 3: Cross multiply
    2,564x = 3,417 × 3,417
  4. Step 4: Simplify right side
    2,564x = 11,675,889
  5. Step 5: Solve for x
    x = 11,675,889/2,564
  6. Step 6: Final answer
    x = 4,553.78

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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.