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Finding the Third Proportional to 10,052 and 14,622

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Solution

The third proportional to 10,052 and 14,622 is: 21,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052 : 14,622 = 14,622 : x
  2. Step 2: Convert to fraction form
    10,052/14,622 = 14,622/x
  3. Step 3: Cross multiply
    10,052x = 14,622 × 14,622
  4. Step 4: Simplify right side
    10,052x = 213,802,884
  5. Step 5: Solve for x
    x = 213,802,884/10,052
  6. Step 6: Final answer
    x = 21,269.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.