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Finding the Third Proportional to 6,136 and 14,212

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Solution

The third proportional to 6,136 and 14,212 is: 32,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136 : 14,212 = 14,212 : x
  2. Step 2: Convert to fraction form
    6,136/14,212 = 14,212/x
  3. Step 3: Cross multiply
    6,136x = 14,212 × 14,212
  4. Step 4: Simplify right side
    6,136x = 201,980,944
  5. Step 5: Solve for x
    x = 201,980,944/6,136
  6. Step 6: Final answer
    x = 32,917.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.