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Finding the Third Proportional to 12,684 and 19,656

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Solution

The third proportional to 12,684 and 19,656 is: 30,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684 : 19,656 = 19,656 : x
  2. Step 2: Convert to fraction form
    12,684/19,656 = 19,656/x
  3. Step 3: Cross multiply
    12,684x = 19,656 × 19,656
  4. Step 4: Simplify right side
    12,684x = 386,358,336
  5. Step 5: Solve for x
    x = 386,358,336/12,684
  6. Step 6: Final answer
    x = 30,460.29

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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.