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Finding the Third Proportional to 36,189.91 and 54,900.07

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Solution

The third proportional to 36,189.91 and 54,900.07 is: 83,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189.91 : 54,900.07 = 54,900.07 : x
  2. Step 2: Convert to fraction form
    36,189.91/54,900.07 = 54,900.07/x
  3. Step 3: Cross multiply
    36,189.91x = 54,900.07 × 54,900.07
  4. Step 4: Simplify right side
    36,189.91x = 3,014,017,720.32
  5. Step 5: Solve for x
    x = 3,014,017,720.32/36,189.91
  6. Step 6: Final answer
    x = 83,283.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.