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Finding the Third Proportional to 14,400 and 19,142

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Solution

The third proportional to 14,400 and 19,142 is: 25,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 19,142 = 19,142 : x
  2. Step 2: Convert to fraction form
    14,400/19,142 = 19,142/x
  3. Step 3: Cross multiply
    14,400x = 19,142 × 19,142
  4. Step 4: Simplify right side
    14,400x = 366,416,164
  5. Step 5: Solve for x
    x = 366,416,164/14,400
  6. Step 6: Final answer
    x = 25,445.57

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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.