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Finding the Third Proportional to 14,825 and 32,809

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Solution

The third proportional to 14,825 and 32,809 is: 72,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825 : 32,809 = 32,809 : x
  2. Step 2: Convert to fraction form
    14,825/32,809 = 32,809/x
  3. Step 3: Cross multiply
    14,825x = 32,809 × 32,809
  4. Step 4: Simplify right side
    14,825x = 1,076,430,481
  5. Step 5: Solve for x
    x = 1,076,430,481/14,825
  6. Step 6: Final answer
    x = 72,609.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.