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Finding the Third Proportional to 38,066 and 60,621

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Solution

The third proportional to 38,066 and 60,621 is: 96,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066 : 60,621 = 60,621 : x
  2. Step 2: Convert to fraction form
    38,066/60,621 = 60,621/x
  3. Step 3: Cross multiply
    38,066x = 60,621 × 60,621
  4. Step 4: Simplify right side
    38,066x = 3,674,905,641
  5. Step 5: Solve for x
    x = 3,674,905,641/38,066
  6. Step 6: Final answer
    x = 96,540.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.