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Finding the Third Proportional to 12,310 and 19,286

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Solution

The third proportional to 12,310 and 19,286 is: 30,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310 : 19,286 = 19,286 : x
  2. Step 2: Convert to fraction form
    12,310/19,286 = 19,286/x
  3. Step 3: Cross multiply
    12,310x = 19,286 × 19,286
  4. Step 4: Simplify right side
    12,310x = 371,949,796
  5. Step 5: Solve for x
    x = 371,949,796/12,310
  6. Step 6: Final answer
    x = 30,215.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.