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Finding the Third Proportional to 8,441 and 13,416

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Solution

The third proportional to 8,441 and 13,416 is: 21,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 13,416 = 13,416 : x
  2. Step 2: Convert to fraction form
    8,441/13,416 = 13,416/x
  3. Step 3: Cross multiply
    8,441x = 13,416 × 13,416
  4. Step 4: Simplify right side
    8,441x = 179,989,056
  5. Step 5: Solve for x
    x = 179,989,056/8,441
  6. Step 6: Final answer
    x = 21,323.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.