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Finding the Third Proportional to 6,189 and 11,527.50

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Solution

The third proportional to 6,189 and 11,527.50 is: 21,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 11,527.50 = 11,527.50 : x
  2. Step 2: Convert to fraction form
    6,189/11,527.50 = 11,527.50/x
  3. Step 3: Cross multiply
    6,189x = 11,527.50 × 11,527.50
  4. Step 4: Simplify right side
    6,189x = 132,883,256.25
  5. Step 5: Solve for x
    x = 132,883,256.25/6,189
  6. Step 6: Final answer
    x = 21,470.88

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.