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Finding the Third Proportional to 14,138 and 19,407

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Solution

The third proportional to 14,138 and 19,407 is: 26,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138 : 19,407 = 19,407 : x
  2. Step 2: Convert to fraction form
    14,138/19,407 = 19,407/x
  3. Step 3: Cross multiply
    14,138x = 19,407 × 19,407
  4. Step 4: Simplify right side
    14,138x = 376,631,649
  5. Step 5: Solve for x
    x = 376,631,649/14,138
  6. Step 6: Final answer
    x = 26,639.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.