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Finding the Third Proportional to 13,464 and 18,936

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Solution

The third proportional to 13,464 and 18,936 is: 26,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464 : 18,936 = 18,936 : x
  2. Step 2: Convert to fraction form
    13,464/18,936 = 18,936/x
  3. Step 3: Cross multiply
    13,464x = 18,936 × 18,936
  4. Step 4: Simplify right side
    13,464x = 358,572,096
  5. Step 5: Solve for x
    x = 358,572,096/13,464
  6. Step 6: Final answer
    x = 26,631.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.