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Finding the Third Proportional to 14,340 and 31,326

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Solution

The third proportional to 14,340 and 31,326 is: 68,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 31,326 = 31,326 : x
  2. Step 2: Convert to fraction form
    14,340/31,326 = 31,326/x
  3. Step 3: Cross multiply
    14,340x = 31,326 × 31,326
  4. Step 4: Simplify right side
    14,340x = 981,318,276
  5. Step 5: Solve for x
    x = 981,318,276/14,340
  6. Step 6: Final answer
    x = 68,432.24

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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.