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Finding the Third Proportional to 28,460 and 43,975

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Solution

The third proportional to 28,460 and 43,975 is: 67,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460 : 43,975 = 43,975 : x
  2. Step 2: Convert to fraction form
    28,460/43,975 = 43,975/x
  3. Step 3: Cross multiply
    28,460x = 43,975 × 43,975
  4. Step 4: Simplify right side
    28,460x = 1,933,800,625
  5. Step 5: Solve for x
    x = 1,933,800,625/28,460
  6. Step 6: Final answer
    x = 67,948.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.