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Finding the Third Proportional to 14,206 and 19,014

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Solution

The third proportional to 14,206 and 19,014 is: 25,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206 : 19,014 = 19,014 : x
  2. Step 2: Convert to fraction form
    14,206/19,014 = 19,014/x
  3. Step 3: Cross multiply
    14,206x = 19,014 × 19,014
  4. Step 4: Simplify right side
    14,206x = 361,532,196
  5. Step 5: Solve for x
    x = 361,532,196/14,206
  6. Step 6: Final answer
    x = 25,449.26

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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.