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Finding the Third Proportional to 8,136.70 and 13,401.07

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Solution

The third proportional to 8,136.70 and 13,401.07 is: 22,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.70 : 13,401.07 = 13,401.07 : x
  2. Step 2: Convert to fraction form
    8,136.70/13,401.07 = 13,401.07/x
  3. Step 3: Cross multiply
    8,136.70x = 13,401.07 × 13,401.07
  4. Step 4: Simplify right side
    8,136.70x = 179,588,685.52
  5. Step 5: Solve for x
    x = 179,588,685.52/8,136.70
  6. Step 6: Final answer
    x = 22,071.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.