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Finding the Third Proportional to 14,568 and 19,364

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Solution

The third proportional to 14,568 and 19,364 is: 25,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568 : 19,364 = 19,364 : x
  2. Step 2: Convert to fraction form
    14,568/19,364 = 19,364/x
  3. Step 3: Cross multiply
    14,568x = 19,364 × 19,364
  4. Step 4: Simplify right side
    14,568x = 374,964,496
  5. Step 5: Solve for x
    x = 374,964,496/14,568
  6. Step 6: Final answer
    x = 25,738.91

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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.