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Finding the Third Proportional to 2,281.94 and 4,671.81

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Solution

The third proportional to 2,281.94 and 4,671.81 is: 9,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.94 : 4,671.81 = 4,671.81 : x
  2. Step 2: Convert to fraction form
    2,281.94/4,671.81 = 4,671.81/x
  3. Step 3: Cross multiply
    2,281.94x = 4,671.81 × 4,671.81
  4. Step 4: Simplify right side
    2,281.94x = 21,825,832.04
  5. Step 5: Solve for x
    x = 21,825,832.04/2,281.94
  6. Step 6: Final answer
    x = 9,564.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.