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Finding the Third Proportional to 8,019 and 11,785.50

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Solution

The third proportional to 8,019 and 11,785.50 is: 17,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 11,785.50 = 11,785.50 : x
  2. Step 2: Convert to fraction form
    8,019/11,785.50 = 11,785.50/x
  3. Step 3: Cross multiply
    8,019x = 11,785.50 × 11,785.50
  4. Step 4: Simplify right side
    8,019x = 138,898,010.25
  5. Step 5: Solve for x
    x = 138,898,010.25/8,019
  6. Step 6: Final answer
    x = 17,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.