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Finding the Third Proportional to 12,255 and 19,011

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Solution

The third proportional to 12,255 and 19,011 is: 29,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255 : 19,011 = 19,011 : x
  2. Step 2: Convert to fraction form
    12,255/19,011 = 19,011/x
  3. Step 3: Cross multiply
    12,255x = 19,011 × 19,011
  4. Step 4: Simplify right side
    12,255x = 361,418,121
  5. Step 5: Solve for x
    x = 361,418,121/12,255
  6. Step 6: Final answer
    x = 29,491.48

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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.