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Finding the Third Proportional to 36,191 and 54,901.50

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Solution

The third proportional to 36,191 and 54,901.50 is: 83,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,191 : 54,901.50 = 54,901.50 : x
  2. Step 2: Convert to fraction form
    36,191/54,901.50 = 54,901.50/x
  3. Step 3: Cross multiply
    36,191x = 54,901.50 × 54,901.50
  4. Step 4: Simplify right side
    36,191x = 3,014,174,702.25
  5. Step 5: Solve for x
    x = 3,014,174,702.25/36,191
  6. Step 6: Final answer
    x = 83,285.20

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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.