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Finding the Third Proportional to 14,629 and 31,558

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Solution

The third proportional to 14,629 and 31,558 is: 68,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629 : 31,558 = 31,558 : x
  2. Step 2: Convert to fraction form
    14,629/31,558 = 31,558/x
  3. Step 3: Cross multiply
    14,629x = 31,558 × 31,558
  4. Step 4: Simplify right side
    14,629x = 995,907,364
  5. Step 5: Solve for x
    x = 995,907,364/14,629
  6. Step 6: Final answer
    x = 68,077.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.