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Finding the Third Proportional to 12,838 and 19,148

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Solution

The third proportional to 12,838 and 19,148 is: 28,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 19,148 = 19,148 : x
  2. Step 2: Convert to fraction form
    12,838/19,148 = 19,148/x
  3. Step 3: Cross multiply
    12,838x = 19,148 × 19,148
  4. Step 4: Simplify right side
    12,838x = 366,645,904
  5. Step 5: Solve for x
    x = 366,645,904/12,838
  6. Step 6: Final answer
    x = 28,559.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.