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Finding the Third Proportional to 5,574 and 12,000

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Solution

The third proportional to 5,574 and 12,000 is: 25,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 12,000 = 12,000 : x
  2. Step 2: Convert to fraction form
    5,574/12,000 = 12,000/x
  3. Step 3: Cross multiply
    5,574x = 12,000 × 12,000
  4. Step 4: Simplify right side
    5,574x = 144,000,000
  5. Step 5: Solve for x
    x = 144,000,000/5,574
  6. Step 6: Final answer
    x = 25,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.