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Finding the Third Proportional to 38,401 and 57,303

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Solution

The third proportional to 38,401 and 57,303 is: 85,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401 : 57,303 = 57,303 : x
  2. Step 2: Convert to fraction form
    38,401/57,303 = 57,303/x
  3. Step 3: Cross multiply
    38,401x = 57,303 × 57,303
  4. Step 4: Simplify right side
    38,401x = 3,283,633,809
  5. Step 5: Solve for x
    x = 3,283,633,809/38,401
  6. Step 6: Final answer
    x = 85,509.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.