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Finding the Third Proportional to 2,349.85 and 4,896.72

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Solution

The third proportional to 2,349.85 and 4,896.72 is: 10,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.85 : 4,896.72 = 4,896.72 : x
  2. Step 2: Convert to fraction form
    2,349.85/4,896.72 = 4,896.72/x
  3. Step 3: Cross multiply
    2,349.85x = 4,896.72 × 4,896.72
  4. Step 4: Simplify right side
    2,349.85x = 23,977,895.16
  5. Step 5: Solve for x
    x = 23,977,895.16/2,349.85
  6. Step 6: Final answer
    x = 10,204.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.