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Finding the Third Proportional to 6,201 and 14,571

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Solution

The third proportional to 6,201 and 14,571 is: 34,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201 : 14,571 = 14,571 : x
  2. Step 2: Convert to fraction form
    6,201/14,571 = 14,571/x
  3. Step 3: Cross multiply
    6,201x = 14,571 × 14,571
  4. Step 4: Simplify right side
    6,201x = 212,314,041
  5. Step 5: Solve for x
    x = 212,314,041/6,201
  6. Step 6: Final answer
    x = 34,238.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.