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Finding the Third Proportional to 14,648 and 32,568

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Solution

The third proportional to 14,648 and 32,568 is: 72,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648 : 32,568 = 32,568 : x
  2. Step 2: Convert to fraction form
    14,648/32,568 = 32,568/x
  3. Step 3: Cross multiply
    14,648x = 32,568 × 32,568
  4. Step 4: Simplify right side
    14,648x = 1,060,674,624
  5. Step 5: Solve for x
    x = 1,060,674,624/14,648
  6. Step 6: Final answer
    x = 72,410.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.