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Finding the Third Proportional to 14,084 and 30,619

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Solution

The third proportional to 14,084 and 30,619 is: 66,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084 : 30,619 = 30,619 : x
  2. Step 2: Convert to fraction form
    14,084/30,619 = 30,619/x
  3. Step 3: Cross multiply
    14,084x = 30,619 × 30,619
  4. Step 4: Simplify right side
    14,084x = 937,523,161
  5. Step 5: Solve for x
    x = 937,523,161/14,084
  6. Step 6: Final answer
    x = 66,566.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.