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Finding the Third Proportional to 17,858 and 28,299

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Solution

The third proportional to 17,858 and 28,299 is: 44,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858 : 28,299 = 28,299 : x
  2. Step 2: Convert to fraction form
    17,858/28,299 = 28,299/x
  3. Step 3: Cross multiply
    17,858x = 28,299 × 28,299
  4. Step 4: Simplify right side
    17,858x = 800,833,401
  5. Step 5: Solve for x
    x = 800,833,401/17,858
  6. Step 6: Final answer
    x = 44,844.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.