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Finding the Third Proportional to 5,898 and 13,284

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Solution

The third proportional to 5,898 and 13,284 is: 29,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898 : 13,284 = 13,284 : x
  2. Step 2: Convert to fraction form
    5,898/13,284 = 13,284/x
  3. Step 3: Cross multiply
    5,898x = 13,284 × 13,284
  4. Step 4: Simplify right side
    5,898x = 176,464,656
  5. Step 5: Solve for x
    x = 176,464,656/5,898
  6. Step 6: Final answer
    x = 29,919.41

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.