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Finding the Third Proportional to 13,939.25 and 28,558

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Solution

The third proportional to 13,939.25 and 28,558 is: 58,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.25 : 28,558 = 28,558 : x
  2. Step 2: Convert to fraction form
    13,939.25/28,558 = 28,558/x
  3. Step 3: Cross multiply
    13,939.25x = 28,558 × 28,558
  4. Step 4: Simplify right side
    13,939.25x = 815,559,364
  5. Step 5: Solve for x
    x = 815,559,364/13,939.25
  6. Step 6: Final answer
    x = 58,508.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.