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Finding the Third Proportional to 28,580 and 43,958

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Solution

The third proportional to 28,580 and 43,958 is: 67,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580 : 43,958 = 43,958 : x
  2. Step 2: Convert to fraction form
    28,580/43,958 = 43,958/x
  3. Step 3: Cross multiply
    28,580x = 43,958 × 43,958
  4. Step 4: Simplify right side
    28,580x = 1,932,305,764
  5. Step 5: Solve for x
    x = 1,932,305,764/28,580
  6. Step 6: Final answer
    x = 67,610.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.