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Finding the Third Proportional to 14,214 and 29,967

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Solution

The third proportional to 14,214 and 29,967 is: 63,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214 : 29,967 = 29,967 : x
  2. Step 2: Convert to fraction form
    14,214/29,967 = 29,967/x
  3. Step 3: Cross multiply
    14,214x = 29,967 × 29,967
  4. Step 4: Simplify right side
    14,214x = 898,021,089
  5. Step 5: Solve for x
    x = 898,021,089/14,214
  6. Step 6: Final answer
    x = 63,178.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.