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Finding the Third Proportional to 5,708.25 and 11,574

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Solution

The third proportional to 5,708.25 and 11,574 is: 23,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.25 : 11,574 = 11,574 : x
  2. Step 2: Convert to fraction form
    5,708.25/11,574 = 11,574/x
  3. Step 3: Cross multiply
    5,708.25x = 11,574 × 11,574
  4. Step 4: Simplify right side
    5,708.25x = 133,957,476
  5. Step 5: Solve for x
    x = 133,957,476/5,708.25
  6. Step 6: Final answer
    x = 23,467.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.