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Finding the Third Proportional to 14,197 and 31,148

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Solution

The third proportional to 14,197 and 31,148 is: 68,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197 : 31,148 = 31,148 : x
  2. Step 2: Convert to fraction form
    14,197/31,148 = 31,148/x
  3. Step 3: Cross multiply
    14,197x = 31,148 × 31,148
  4. Step 4: Simplify right side
    14,197x = 970,197,904
  5. Step 5: Solve for x
    x = 970,197,904/14,197
  6. Step 6: Final answer
    x = 68,338.23

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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.