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Finding the Third Proportional to 13,138 and 19,219

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Solution

The third proportional to 13,138 and 19,219 is: 28,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138 : 19,219 = 19,219 : x
  2. Step 2: Convert to fraction form
    13,138/19,219 = 19,219/x
  3. Step 3: Cross multiply
    13,138x = 19,219 × 19,219
  4. Step 4: Simplify right side
    13,138x = 369,369,961
  5. Step 5: Solve for x
    x = 369,369,961/13,138
  6. Step 6: Final answer
    x = 28,114.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.