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Finding the Third Proportional to 2,229.75 and 4,905

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Solution

The third proportional to 2,229.75 and 4,905 is: 10,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.75 : 4,905 = 4,905 : x
  2. Step 2: Convert to fraction form
    2,229.75/4,905 = 4,905/x
  3. Step 3: Cross multiply
    2,229.75x = 4,905 × 4,905
  4. Step 4: Simplify right side
    2,229.75x = 24,059,025
  5. Step 5: Solve for x
    x = 24,059,025/2,229.75
  6. Step 6: Final answer
    x = 10,790.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.