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Finding the Third Proportional to 14,012 and 30,568

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Solution

The third proportional to 14,012 and 30,568 is: 66,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012 : 30,568 = 30,568 : x
  2. Step 2: Convert to fraction form
    14,012/30,568 = 30,568/x
  3. Step 3: Cross multiply
    14,012x = 30,568 × 30,568
  4. Step 4: Simplify right side
    14,012x = 934,402,624
  5. Step 5: Solve for x
    x = 934,402,624/14,012
  6. Step 6: Final answer
    x = 66,685.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.