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Finding the Third Proportional to 2,414 and 5,289

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Solution

The third proportional to 2,414 and 5,289 is: 11,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414 : 5,289 = 5,289 : x
  2. Step 2: Convert to fraction form
    2,414/5,289 = 5,289/x
  3. Step 3: Cross multiply
    2,414x = 5,289 × 5,289
  4. Step 4: Simplify right side
    2,414x = 27,973,521
  5. Step 5: Solve for x
    x = 27,973,521/2,414
  6. Step 6: Final answer
    x = 11,588.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.