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Finding the Third Proportional to 36,984 and 60,086.25

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Solution

The third proportional to 36,984 and 60,086.25 is: 97,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984 : 60,086.25 = 60,086.25 : x
  2. Step 2: Convert to fraction form
    36,984/60,086.25 = 60,086.25/x
  3. Step 3: Cross multiply
    36,984x = 60,086.25 × 60,086.25
  4. Step 4: Simplify right side
    36,984x = 3,610,357,439.06
  5. Step 5: Solve for x
    x = 3,610,357,439.06/36,984
  6. Step 6: Final answer
    x = 97,619.44

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