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Finding the Third Proportional to 13,006 and 19,627

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Solution

The third proportional to 13,006 and 19,627 is: 29,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 19,627 = 19,627 : x
  2. Step 2: Convert to fraction form
    13,006/19,627 = 19,627/x
  3. Step 3: Cross multiply
    13,006x = 19,627 × 19,627
  4. Step 4: Simplify right side
    13,006x = 385,219,129
  5. Step 5: Solve for x
    x = 385,219,129/13,006
  6. Step 6: Final answer
    x = 29,618.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.