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Finding the Third Proportional to 21,712 and 32,568

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Solution

The third proportional to 21,712 and 32,568 is: 48,852

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712 : 32,568 = 32,568 : x
  2. Step 2: Convert to fraction form
    21,712/32,568 = 32,568/x
  3. Step 3: Cross multiply
    21,712x = 32,568 × 32,568
  4. Step 4: Simplify right side
    21,712x = 1,060,674,624
  5. Step 5: Solve for x
    x = 1,060,674,624/21,712
  6. Step 6: Final answer
    x = 48,852

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.