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Finding the Third Proportional to 13,048 and 17,084

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Solution

The third proportional to 13,048 and 17,084 is: 22,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048 : 17,084 = 17,084 : x
  2. Step 2: Convert to fraction form
    13,048/17,084 = 17,084/x
  3. Step 3: Cross multiply
    13,048x = 17,084 × 17,084
  4. Step 4: Simplify right side
    13,048x = 291,863,056
  5. Step 5: Solve for x
    x = 291,863,056/13,048
  6. Step 6: Final answer
    x = 22,368.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.