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Finding the Third Proportional to 8,136 and 13,008

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Solution

The third proportional to 8,136 and 13,008 is: 20,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 13,008 = 13,008 : x
  2. Step 2: Convert to fraction form
    8,136/13,008 = 13,008/x
  3. Step 3: Cross multiply
    8,136x = 13,008 × 13,008
  4. Step 4: Simplify right side
    8,136x = 169,208,064
  5. Step 5: Solve for x
    x = 169,208,064/8,136
  6. Step 6: Final answer
    x = 20,797.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.