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Finding the Third Proportional to 2,297 and 5,143

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Solution

The third proportional to 2,297 and 5,143 is: 11,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297 : 5,143 = 5,143 : x
  2. Step 2: Convert to fraction form
    2,297/5,143 = 5,143/x
  3. Step 3: Cross multiply
    2,297x = 5,143 × 5,143
  4. Step 4: Simplify right side
    2,297x = 26,450,449
  5. Step 5: Solve for x
    x = 26,450,449/2,297
  6. Step 6: Final answer
    x = 11,515.22

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.