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Finding the Third Proportional to 14,400 and 19,152

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Solution

The third proportional to 14,400 and 19,152 is: 25,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 19,152 = 19,152 : x
  2. Step 2: Convert to fraction form
    14,400/19,152 = 19,152/x
  3. Step 3: Cross multiply
    14,400x = 19,152 × 19,152
  4. Step 4: Simplify right side
    14,400x = 366,799,104
  5. Step 5: Solve for x
    x = 366,799,104/14,400
  6. Step 6: Final answer
    x = 25,472.16

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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.