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Finding the Third Proportional to 14,181.75 and 22,136.63

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Solution

The third proportional to 14,181.75 and 22,136.63 is: 34,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.75 : 22,136.63 = 22,136.63 : x
  2. Step 2: Convert to fraction form
    14,181.75/22,136.63 = 22,136.63/x
  3. Step 3: Cross multiply
    14,181.75x = 22,136.63 × 22,136.63
  4. Step 4: Simplify right side
    14,181.75x = 490,030,166.39
  5. Step 5: Solve for x
    x = 490,030,166.39/14,181.75
  6. Step 6: Final answer
    x = 34,553.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.