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Finding the Third Proportional to 29,157 and 43,728

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Solution

The third proportional to 29,157 and 43,728 is: 65,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,157 : 43,728 = 43,728 : x
  2. Step 2: Convert to fraction form
    29,157/43,728 = 43,728/x
  3. Step 3: Cross multiply
    29,157x = 43,728 × 43,728
  4. Step 4: Simplify right side
    29,157x = 1,912,137,984
  5. Step 5: Solve for x
    x = 1,912,137,984/29,157
  6. Step 6: Final answer
    x = 65,580.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.