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Finding the Third Proportional to 11,213 and 14,983

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Solution

The third proportional to 11,213 and 14,983 is: 20,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213 : 14,983 = 14,983 : x
  2. Step 2: Convert to fraction form
    11,213/14,983 = 14,983/x
  3. Step 3: Cross multiply
    11,213x = 14,983 × 14,983
  4. Step 4: Simplify right side
    11,213x = 224,490,289
  5. Step 5: Solve for x
    x = 224,490,289/11,213
  6. Step 6: Final answer
    x = 20,020.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.