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Finding the Third Proportional to 8,136 and 10,986

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Solution

The third proportional to 8,136 and 10,986 is: 14,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 10,986 = 10,986 : x
  2. Step 2: Convert to fraction form
    8,136/10,986 = 10,986/x
  3. Step 3: Cross multiply
    8,136x = 10,986 × 10,986
  4. Step 4: Simplify right side
    8,136x = 120,692,196
  5. Step 5: Solve for x
    x = 120,692,196/8,136
  6. Step 6: Final answer
    x = 14,834.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.