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Finding the Third Proportional to 2,574 and 5,243

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Solution

The third proportional to 2,574 and 5,243 is: 10,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 5,243 = 5,243 : x
  2. Step 2: Convert to fraction form
    2,574/5,243 = 5,243/x
  3. Step 3: Cross multiply
    2,574x = 5,243 × 5,243
  4. Step 4: Simplify right side
    2,574x = 27,489,049
  5. Step 5: Solve for x
    x = 27,489,049/2,574
  6. Step 6: Final answer
    x = 10,679.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.