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Finding the Third Proportional to 36,189 and 52,987.50

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Solution

The third proportional to 36,189 and 52,987.50 is: 77,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189 : 52,987.50 = 52,987.50 : x
  2. Step 2: Convert to fraction form
    36,189/52,987.50 = 52,987.50/x
  3. Step 3: Cross multiply
    36,189x = 52,987.50 × 52,987.50
  4. Step 4: Simplify right side
    36,189x = 2,807,675,156.25
  5. Step 5: Solve for x
    x = 2,807,675,156.25/36,189
  6. Step 6: Final answer
    x = 77,583.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.