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Finding the Third Proportional to 11,023 and 14,995

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Solution

The third proportional to 11,023 and 14,995 is: 20,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023 : 14,995 = 14,995 : x
  2. Step 2: Convert to fraction form
    11,023/14,995 = 14,995/x
  3. Step 3: Cross multiply
    11,023x = 14,995 × 14,995
  4. Step 4: Simplify right side
    11,023x = 224,850,025
  5. Step 5: Solve for x
    x = 224,850,025/11,023
  6. Step 6: Final answer
    x = 20,398.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.