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Finding the Third Proportional to 2,297 and 5,071

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Solution

The third proportional to 2,297 and 5,071 is: 11,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297 : 5,071 = 5,071 : x
  2. Step 2: Convert to fraction form
    2,297/5,071 = 5,071/x
  3. Step 3: Cross multiply
    2,297x = 5,071 × 5,071
  4. Step 4: Simplify right side
    2,297x = 25,715,041
  5. Step 5: Solve for x
    x = 25,715,041/2,297
  6. Step 6: Final answer
    x = 11,195.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.