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Finding the Third Proportional to 14,714 and 18,892

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Solution

The third proportional to 14,714 and 18,892 is: 24,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714 : 18,892 = 18,892 : x
  2. Step 2: Convert to fraction form
    14,714/18,892 = 18,892/x
  3. Step 3: Cross multiply
    14,714x = 18,892 × 18,892
  4. Step 4: Simplify right side
    14,714x = 356,907,664
  5. Step 5: Solve for x
    x = 356,907,664/14,714
  6. Step 6: Final answer
    x = 24,256.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.