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Finding the Third Proportional to 12,447 and 19,272.38

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Solution

The third proportional to 12,447 and 19,272.38 is: 29,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447 : 19,272.38 = 19,272.38 : x
  2. Step 2: Convert to fraction form
    12,447/19,272.38 = 19,272.38/x
  3. Step 3: Cross multiply
    12,447x = 19,272.38 × 19,272.38
  4. Step 4: Simplify right side
    12,447x = 371,424,438.14
  5. Step 5: Solve for x
    x = 371,424,438.14/12,447
  6. Step 6: Final answer
    x = 29,840.48

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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.