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Finding the Third Proportional to 5,523 and 6,411

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Solution

The third proportional to 5,523 and 6,411 is: 7,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523 : 6,411 = 6,411 : x
  2. Step 2: Convert to fraction form
    5,523/6,411 = 6,411/x
  3. Step 3: Cross multiply
    5,523x = 6,411 × 6,411
  4. Step 4: Simplify right side
    5,523x = 41,100,921
  5. Step 5: Solve for x
    x = 41,100,921/5,523
  6. Step 6: Final answer
    x = 7,441.77

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.