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Finding the Third Proportional to 14,139 and 30,843

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Solution

The third proportional to 14,139 and 30,843 is: 67,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139 : 30,843 = 30,843 : x
  2. Step 2: Convert to fraction form
    14,139/30,843 = 30,843/x
  3. Step 3: Cross multiply
    14,139x = 30,843 × 30,843
  4. Step 4: Simplify right side
    14,139x = 951,290,649
  5. Step 5: Solve for x
    x = 951,290,649/14,139
  6. Step 6: Final answer
    x = 67,281.32

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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.