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Finding the Third Proportional to 12,302 and 19,101

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Solution

The third proportional to 12,302 and 19,101 is: 29,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302 : 19,101 = 19,101 : x
  2. Step 2: Convert to fraction form
    12,302/19,101 = 19,101/x
  3. Step 3: Cross multiply
    12,302x = 19,101 × 19,101
  4. Step 4: Simplify right side
    12,302x = 364,848,201
  5. Step 5: Solve for x
    x = 364,848,201/12,302
  6. Step 6: Final answer
    x = 29,657.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.