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Finding the Third Proportional to 14,311 and 31,356

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Solution

The third proportional to 14,311 and 31,356 is: 68,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311 : 31,356 = 31,356 : x
  2. Step 2: Convert to fraction form
    14,311/31,356 = 31,356/x
  3. Step 3: Cross multiply
    14,311x = 31,356 × 31,356
  4. Step 4: Simplify right side
    14,311x = 983,198,736
  5. Step 5: Solve for x
    x = 983,198,736/14,311
  6. Step 6: Final answer
    x = 68,702.31

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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.