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Finding the Third Proportional to 14,314 and 19,054

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Solution

The third proportional to 14,314 and 19,054 is: 25,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314 : 19,054 = 19,054 : x
  2. Step 2: Convert to fraction form
    14,314/19,054 = 19,054/x
  3. Step 3: Cross multiply
    14,314x = 19,054 × 19,054
  4. Step 4: Simplify right side
    14,314x = 363,054,916
  5. Step 5: Solve for x
    x = 363,054,916/14,314
  6. Step 6: Final answer
    x = 25,363.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.