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Finding the Third Proportional to 28,024 and 59,856

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Solution

The third proportional to 28,024 and 59,856 is: 127,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024 : 59,856 = 59,856 : x
  2. Step 2: Convert to fraction form
    28,024/59,856 = 59,856/x
  3. Step 3: Cross multiply
    28,024x = 59,856 × 59,856
  4. Step 4: Simplify right side
    28,024x = 3,582,740,736
  5. Step 5: Solve for x
    x = 3,582,740,736/28,024
  6. Step 6: Final answer
    x = 127,845.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.