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Finding the Third Proportional to 2,036.81 and 4,671.84

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Solution

The third proportional to 2,036.81 and 4,671.84 is: 10,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.81 : 4,671.84 = 4,671.84 : x
  2. Step 2: Convert to fraction form
    2,036.81/4,671.84 = 4,671.84/x
  3. Step 3: Cross multiply
    2,036.81x = 4,671.84 × 4,671.84
  4. Step 4: Simplify right side
    2,036.81x = 21,826,124.02
  5. Step 5: Solve for x
    x = 21,826,124.02/2,036.81
  6. Step 6: Final answer
    x = 10,715.82

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.