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Finding the Third Proportional to 28,727 and 43,697

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Solution

The third proportional to 28,727 and 43,697 is: 66,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,727 : 43,697 = 43,697 : x
  2. Step 2: Convert to fraction form
    28,727/43,697 = 43,697/x
  3. Step 3: Cross multiply
    28,727x = 43,697 × 43,697
  4. Step 4: Simplify right side
    28,727x = 1,909,427,809
  5. Step 5: Solve for x
    x = 1,909,427,809/28,727
  6. Step 6: Final answer
    x = 66,468.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.