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Finding the Third Proportional to 12,341 and 19,627

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Solution

The third proportional to 12,341 and 19,627 is: 31,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341 : 19,627 = 19,627 : x
  2. Step 2: Convert to fraction form
    12,341/19,627 = 19,627/x
  3. Step 3: Cross multiply
    12,341x = 19,627 × 19,627
  4. Step 4: Simplify right side
    12,341x = 385,219,129
  5. Step 5: Solve for x
    x = 385,219,129/12,341
  6. Step 6: Final answer
    x = 31,214.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.