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Finding the Third Proportional to 12,272 and 19,029

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Solution

The third proportional to 12,272 and 19,029 is: 29,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272 : 19,029 = 19,029 : x
  2. Step 2: Convert to fraction form
    12,272/19,029 = 19,029/x
  3. Step 3: Cross multiply
    12,272x = 19,029 × 19,029
  4. Step 4: Simplify right side
    12,272x = 362,102,841
  5. Step 5: Solve for x
    x = 362,102,841/12,272
  6. Step 6: Final answer
    x = 29,506.42

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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.