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Finding the Third Proportional to 13,558 and 19,014

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Solution

The third proportional to 13,558 and 19,014 is: 26,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558 : 19,014 = 19,014 : x
  2. Step 2: Convert to fraction form
    13,558/19,014 = 19,014/x
  3. Step 3: Cross multiply
    13,558x = 19,014 × 19,014
  4. Step 4: Simplify right side
    13,558x = 361,532,196
  5. Step 5: Solve for x
    x = 361,532,196/13,558
  6. Step 6: Final answer
    x = 26,665.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.