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Finding the Third Proportional to 14,682 and 31,179

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Solution

The third proportional to 14,682 and 31,179 is: 66,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682 : 31,179 = 31,179 : x
  2. Step 2: Convert to fraction form
    14,682/31,179 = 31,179/x
  3. Step 3: Cross multiply
    14,682x = 31,179 × 31,179
  4. Step 4: Simplify right side
    14,682x = 972,130,041
  5. Step 5: Solve for x
    x = 972,130,041/14,682
  6. Step 6: Final answer
    x = 66,212.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.