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Finding the Third Proportional to 10,796 and 14,214

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Solution

The third proportional to 10,796 and 14,214 is: 18,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796 : 14,214 = 14,214 : x
  2. Step 2: Convert to fraction form
    10,796/14,214 = 14,214/x
  3. Step 3: Cross multiply
    10,796x = 14,214 × 14,214
  4. Step 4: Simplify right side
    10,796x = 202,037,796
  5. Step 5: Solve for x
    x = 202,037,796/10,796
  6. Step 6: Final answer
    x = 18,714.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.