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Finding the Third Proportional to 19,269 and 30,656

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Solution

The third proportional to 19,269 and 30,656 is: 48,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,269 : 30,656 = 30,656 : x
  2. Step 2: Convert to fraction form
    19,269/30,656 = 30,656/x
  3. Step 3: Cross multiply
    19,269x = 30,656 × 30,656
  4. Step 4: Simplify right side
    19,269x = 939,790,336
  5. Step 5: Solve for x
    x = 939,790,336/19,269
  6. Step 6: Final answer
    x = 48,772.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.