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Finding the Third Proportional to 2,000.95 and 4,846.71

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Solution

The third proportional to 2,000.95 and 4,846.71 is: 11,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.95 : 4,846.71 = 4,846.71 : x
  2. Step 2: Convert to fraction form
    2,000.95/4,846.71 = 4,846.71/x
  3. Step 3: Cross multiply
    2,000.95x = 4,846.71 × 4,846.71
  4. Step 4: Simplify right side
    2,000.95x = 23,490,606.91
  5. Step 5: Solve for x
    x = 23,490,606.91/2,000.95
  6. Step 6: Final answer
    x = 11,739.71

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.