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Finding the Third Proportional to 13,048 and 25,321

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Solution

The third proportional to 13,048 and 25,321 is: 49,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048 : 25,321 = 25,321 : x
  2. Step 2: Convert to fraction form
    13,048/25,321 = 25,321/x
  3. Step 3: Cross multiply
    13,048x = 25,321 × 25,321
  4. Step 4: Simplify right side
    13,048x = 641,153,041
  5. Step 5: Solve for x
    x = 641,153,041/13,048
  6. Step 6: Final answer
    x = 49,138.03

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.