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Finding the Third Proportional to 13,051.50 and 25,446

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Solution

The third proportional to 13,051.50 and 25,446 is: 49,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.50 : 25,446 = 25,446 : x
  2. Step 2: Convert to fraction form
    13,051.50/25,446 = 25,446/x
  3. Step 3: Cross multiply
    13,051.50x = 25,446 × 25,446
  4. Step 4: Simplify right side
    13,051.50x = 647,498,916
  5. Step 5: Solve for x
    x = 647,498,916/13,051.50
  6. Step 6: Final answer
    x = 49,611.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.