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Finding the Third Proportional to 29,749.50 and 40,383

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Solution

The third proportional to 29,749.50 and 40,383 is: 54,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749.50 : 40,383 = 40,383 : x
  2. Step 2: Convert to fraction form
    29,749.50/40,383 = 40,383/x
  3. Step 3: Cross multiply
    29,749.50x = 40,383 × 40,383
  4. Step 4: Simplify right side
    29,749.50x = 1,630,786,689
  5. Step 5: Solve for x
    x = 1,630,786,689/29,749.50
  6. Step 6: Final answer
    x = 54,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.