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Finding the Third Proportional to 14,976 and 22,941

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Solution

The third proportional to 14,976 and 22,941 is: 35,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,941 = 22,941 : x
  2. Step 2: Convert to fraction form
    14,976/22,941 = 22,941/x
  3. Step 3: Cross multiply
    14,976x = 22,941 × 22,941
  4. Step 4: Simplify right side
    14,976x = 526,289,481
  5. Step 5: Solve for x
    x = 526,289,481/14,976
  6. Step 6: Final answer
    x = 35,142.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.