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Finding the Third Proportional to 14,209 and 31,187

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Solution

The third proportional to 14,209 and 31,187 is: 68,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209 : 31,187 = 31,187 : x
  2. Step 2: Convert to fraction form
    14,209/31,187 = 31,187/x
  3. Step 3: Cross multiply
    14,209x = 31,187 × 31,187
  4. Step 4: Simplify right side
    14,209x = 972,628,969
  5. Step 5: Solve for x
    x = 972,628,969/14,209
  6. Step 6: Final answer
    x = 68,451.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.