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Finding the Third Proportional to 12,286 and 19,055

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Solution

The third proportional to 12,286 and 19,055 is: 29,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 19,055 = 19,055 : x
  2. Step 2: Convert to fraction form
    12,286/19,055 = 19,055/x
  3. Step 3: Cross multiply
    12,286x = 19,055 × 19,055
  4. Step 4: Simplify right side
    12,286x = 363,093,025
  5. Step 5: Solve for x
    x = 363,093,025/12,286
  6. Step 6: Final answer
    x = 29,553.40

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1.5x scale

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.