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Finding the Third Proportional to 21,668 and 32,505

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Solution

The third proportional to 21,668 and 32,505 is: 48,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668 : 32,505 = 32,505 : x
  2. Step 2: Convert to fraction form
    21,668/32,505 = 32,505/x
  3. Step 3: Cross multiply
    21,668x = 32,505 × 32,505
  4. Step 4: Simplify right side
    21,668x = 1,056,575,025
  5. Step 5: Solve for x
    x = 1,056,575,025/21,668
  6. Step 6: Final answer
    x = 48,762.00

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