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Finding the Third Proportional to 12,097.75 and 19,010.75

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Solution

The third proportional to 12,097.75 and 19,010.75 is: 29,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.75 : 19,010.75 = 19,010.75 : x
  2. Step 2: Convert to fraction form
    12,097.75/19,010.75 = 19,010.75/x
  3. Step 3: Cross multiply
    12,097.75x = 19,010.75 × 19,010.75
  4. Step 4: Simplify right side
    12,097.75x = 361,408,615.56
  5. Step 5: Solve for x
    x = 361,408,615.56/12,097.75
  6. Step 6: Final answer
    x = 29,874.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.