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Finding the Third Proportional to 12,246 and 19,009

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Solution

The third proportional to 12,246 and 19,009 is: 29,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246 : 19,009 = 19,009 : x
  2. Step 2: Convert to fraction form
    12,246/19,009 = 19,009/x
  3. Step 3: Cross multiply
    12,246x = 19,009 × 19,009
  4. Step 4: Simplify right side
    12,246x = 361,342,081
  5. Step 5: Solve for x
    x = 361,342,081/12,246
  6. Step 6: Final answer
    x = 29,506.95

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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.