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Finding the Third Proportional to 14,498 and 19,150

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Solution

The third proportional to 14,498 and 19,150 is: 25,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498 : 19,150 = 19,150 : x
  2. Step 2: Convert to fraction form
    14,498/19,150 = 19,150/x
  3. Step 3: Cross multiply
    14,498x = 19,150 × 19,150
  4. Step 4: Simplify right side
    14,498x = 366,722,500
  5. Step 5: Solve for x
    x = 366,722,500/14,498
  6. Step 6: Final answer
    x = 25,294.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.