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Finding the Third Proportional to 13,035 and 18,679.50

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Solution

The third proportional to 13,035 and 18,679.50 is: 26,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035 : 18,679.50 = 18,679.50 : x
  2. Step 2: Convert to fraction form
    13,035/18,679.50 = 18,679.50/x
  3. Step 3: Cross multiply
    13,035x = 18,679.50 × 18,679.50
  4. Step 4: Simplify right side
    13,035x = 348,923,720.25
  5. Step 5: Solve for x
    x = 348,923,720.25/13,035
  6. Step 6: Final answer
    x = 26,768.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.