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Finding the Third Proportional to 28.83 and 63.07

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Solution

The third proportional to 28.83 and 63.07 is: 137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.83 : 63.07 = 63.07 : x
  2. Step 2: Convert to fraction form
    28.83/63.07 = 63.07/x
  3. Step 3: Cross multiply
    28.83x = 63.07 × 63.07
  4. Step 4: Simplify right side
    28.83x = 3,977.86
  5. Step 5: Solve for x
    x = 3,977.86/28.83
  6. Step 6: Final answer
    x = 137.99

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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.