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Finding the Third Proportional to 14,918 and 32,941

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Solution

The third proportional to 14,918 and 32,941 is: 72,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918 : 32,941 = 32,941 : x
  2. Step 2: Convert to fraction form
    14,918/32,941 = 32,941/x
  3. Step 3: Cross multiply
    14,918x = 32,941 × 32,941
  4. Step 4: Simplify right side
    14,918x = 1,085,109,481
  5. Step 5: Solve for x
    x = 1,085,109,481/14,918
  6. Step 6: Final answer
    x = 72,738.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.