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Finding the Third Proportional to 14,884 and 25,350

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Solution

The third proportional to 14,884 and 25,350 is: 43,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 25,350 = 25,350 : x
  2. Step 2: Convert to fraction form
    14,884/25,350 = 25,350/x
  3. Step 3: Cross multiply
    14,884x = 25,350 × 25,350
  4. Step 4: Simplify right side
    14,884x = 642,622,500
  5. Step 5: Solve for x
    x = 642,622,500/14,884
  6. Step 6: Final answer
    x = 43,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.