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Finding the Third Proportional to 19,333 and 41,035

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Solution

The third proportional to 19,333 and 41,035 is: 87,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333 : 41,035 = 41,035 : x
  2. Step 2: Convert to fraction form
    19,333/41,035 = 41,035/x
  3. Step 3: Cross multiply
    19,333x = 41,035 × 41,035
  4. Step 4: Simplify right side
    19,333x = 1,683,871,225
  5. Step 5: Solve for x
    x = 1,683,871,225/19,333
  6. Step 6: Final answer
    x = 87,098.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.