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Finding the Third Proportional to 21,014 and 32,583

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Solution

The third proportional to 21,014 and 32,583 is: 50,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014 : 32,583 = 32,583 : x
  2. Step 2: Convert to fraction form
    21,014/32,583 = 32,583/x
  3. Step 3: Cross multiply
    21,014x = 32,583 × 32,583
  4. Step 4: Simplify right side
    21,014x = 1,061,651,889
  5. Step 5: Solve for x
    x = 1,061,651,889/21,014
  6. Step 6: Final answer
    x = 50,521.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.