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Finding the Third Proportional to 13,510 and 20,303

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Solution

The third proportional to 13,510 and 20,303 is: 30,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510 : 20,303 = 20,303 : x
  2. Step 2: Convert to fraction form
    13,510/20,303 = 20,303/x
  3. Step 3: Cross multiply
    13,510x = 20,303 × 20,303
  4. Step 4: Simplify right side
    13,510x = 412,211,809
  5. Step 5: Solve for x
    x = 412,211,809/13,510
  6. Step 6: Final answer
    x = 30,511.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.