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Finding the Third Proportional to 14,179 and 30,910

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Solution

The third proportional to 14,179 and 30,910 is: 67,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179 : 30,910 = 30,910 : x
  2. Step 2: Convert to fraction form
    14,179/30,910 = 30,910/x
  3. Step 3: Cross multiply
    14,179x = 30,910 × 30,910
  4. Step 4: Simplify right side
    14,179x = 955,428,100
  5. Step 5: Solve for x
    x = 955,428,100/14,179
  6. Step 6: Final answer
    x = 67,383.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.