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Finding the Third Proportional to 12,600 and 14,256

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Solution

The third proportional to 12,600 and 14,256 is: 16,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600 : 14,256 = 14,256 : x
  2. Step 2: Convert to fraction form
    12,600/14,256 = 14,256/x
  3. Step 3: Cross multiply
    12,600x = 14,256 × 14,256
  4. Step 4: Simplify right side
    12,600x = 203,233,536
  5. Step 5: Solve for x
    x = 203,233,536/12,600
  6. Step 6: Final answer
    x = 16,129.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.