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Finding the Third Proportional to 15,978 and 24,190.50

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Solution

The third proportional to 15,978 and 24,190.50 is: 36,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978 : 24,190.50 = 24,190.50 : x
  2. Step 2: Convert to fraction form
    15,978/24,190.50 = 24,190.50/x
  3. Step 3: Cross multiply
    15,978x = 24,190.50 × 24,190.50
  4. Step 4: Simplify right side
    15,978x = 585,180,290.25
  5. Step 5: Solve for x
    x = 585,180,290.25/15,978
  6. Step 6: Final answer
    x = 36,624.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.