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Finding the Third Proportional to 36,986 and 60,089

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Solution

The third proportional to 36,986 and 60,089 is: 97,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,986 : 60,089 = 60,089 : x
  2. Step 2: Convert to fraction form
    36,986/60,089 = 60,089/x
  3. Step 3: Cross multiply
    36,986x = 60,089 × 60,089
  4. Step 4: Simplify right side
    36,986x = 3,610,687,921
  5. Step 5: Solve for x
    x = 3,610,687,921/36,986
  6. Step 6: Final answer
    x = 97,623.10

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.