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Finding the Third Proportional to 21,824 and 32,700

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Solution

The third proportional to 21,824 and 32,700 is: 48,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824 : 32,700 = 32,700 : x
  2. Step 2: Convert to fraction form
    21,824/32,700 = 32,700/x
  3. Step 3: Cross multiply
    21,824x = 32,700 × 32,700
  4. Step 4: Simplify right side
    21,824x = 1,069,290,000
  5. Step 5: Solve for x
    x = 1,069,290,000/21,824
  6. Step 6: Final answer
    x = 48,996.06

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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.