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Finding the Third Proportional to 6,411 and 8,697

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Solution

The third proportional to 6,411 and 8,697 is: 11,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 8,697 = 8,697 : x
  2. Step 2: Convert to fraction form
    6,411/8,697 = 8,697/x
  3. Step 3: Cross multiply
    6,411x = 8,697 × 8,697
  4. Step 4: Simplify right side
    6,411x = 75,637,809
  5. Step 5: Solve for x
    x = 75,637,809/6,411
  6. Step 6: Final answer
    x = 11,798.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.