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Finding the Third Proportional to 39,521 and 60,285

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Solution

The third proportional to 39,521 and 60,285 is: 91,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,521 : 60,285 = 60,285 : x
  2. Step 2: Convert to fraction form
    39,521/60,285 = 60,285/x
  3. Step 3: Cross multiply
    39,521x = 60,285 × 60,285
  4. Step 4: Simplify right side
    39,521x = 3,634,281,225
  5. Step 5: Solve for x
    x = 3,634,281,225/39,521
  6. Step 6: Final answer
    x = 91,958.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.