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Finding the Third Proportional to 14,112 and 31,052

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Solution

The third proportional to 14,112 and 31,052 is: 68,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 31,052 = 31,052 : x
  2. Step 2: Convert to fraction form
    14,112/31,052 = 31,052/x
  3. Step 3: Cross multiply
    14,112x = 31,052 × 31,052
  4. Step 4: Simplify right side
    14,112x = 964,226,704
  5. Step 5: Solve for x
    x = 964,226,704/14,112
  6. Step 6: Final answer
    x = 68,326.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.