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Finding the Third Proportional to 14,308 and 19,104

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Solution

The third proportional to 14,308 and 19,104 is: 25,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308 : 19,104 = 19,104 : x
  2. Step 2: Convert to fraction form
    14,308/19,104 = 19,104/x
  3. Step 3: Cross multiply
    14,308x = 19,104 × 19,104
  4. Step 4: Simplify right side
    14,308x = 364,962,816
  5. Step 5: Solve for x
    x = 364,962,816/14,308
  6. Step 6: Final answer
    x = 25,507.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.