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Finding the Third Proportional to 2,296 and 4,728.50

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Solution

The third proportional to 2,296 and 4,728.50 is: 9,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296 : 4,728.50 = 4,728.50 : x
  2. Step 2: Convert to fraction form
    2,296/4,728.50 = 4,728.50/x
  3. Step 3: Cross multiply
    2,296x = 4,728.50 × 4,728.50
  4. Step 4: Simplify right side
    2,296x = 22,358,712.25
  5. Step 5: Solve for x
    x = 22,358,712.25/2,296
  6. Step 6: Final answer
    x = 9,738.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.