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Finding the Third Proportional to 14,380 and 33,613

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Solution

The third proportional to 14,380 and 33,613 is: 78,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380 : 33,613 = 33,613 : x
  2. Step 2: Convert to fraction form
    14,380/33,613 = 33,613/x
  3. Step 3: Cross multiply
    14,380x = 33,613 × 33,613
  4. Step 4: Simplify right side
    14,380x = 1,129,833,769
  5. Step 5: Solve for x
    x = 1,129,833,769/14,380
  6. Step 6: Final answer
    x = 78,569.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.