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Finding the Third Proportional to 29,378 and 43,500

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Solution

The third proportional to 29,378 and 43,500 is: 64,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 43,500 = 43,500 : x
  2. Step 2: Convert to fraction form
    29,378/43,500 = 43,500/x
  3. Step 3: Cross multiply
    29,378x = 43,500 × 43,500
  4. Step 4: Simplify right side
    29,378x = 1,892,250,000
  5. Step 5: Solve for x
    x = 1,892,250,000/29,378
  6. Step 6: Final answer
    x = 64,410.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.