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Finding the Third Proportional to 14,834 and 32,583

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Solution

The third proportional to 14,834 and 32,583 is: 71,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834 : 32,583 = 32,583 : x
  2. Step 2: Convert to fraction form
    14,834/32,583 = 32,583/x
  3. Step 3: Cross multiply
    14,834x = 32,583 × 32,583
  4. Step 4: Simplify right side
    14,834x = 1,061,651,889
  5. Step 5: Solve for x
    x = 1,061,651,889/14,834
  6. Step 6: Final answer
    x = 71,568.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.