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Finding the Third Proportional to 29,254 and 39,993

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Solution

The third proportional to 29,254 and 39,993 is: 54,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,254 : 39,993 = 39,993 : x
  2. Step 2: Convert to fraction form
    29,254/39,993 = 39,993/x
  3. Step 3: Cross multiply
    29,254x = 39,993 × 39,993
  4. Step 4: Simplify right side
    29,254x = 1,599,440,049
  5. Step 5: Solve for x
    x = 1,599,440,049/29,254
  6. Step 6: Final answer
    x = 54,674.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.