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Finding the Third Proportional to 6,415 and 13,334

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Solution

The third proportional to 6,415 and 13,334 is: 27,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 13,334 = 13,334 : x
  2. Step 2: Convert to fraction form
    6,415/13,334 = 13,334/x
  3. Step 3: Cross multiply
    6,415x = 13,334 × 13,334
  4. Step 4: Simplify right side
    6,415x = 177,795,556
  5. Step 5: Solve for x
    x = 177,795,556/6,415
  6. Step 6: Final answer
    x = 27,715.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.