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Finding the Third Proportional to 864.84 and 1,896.54

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Solution

The third proportional to 864.84 and 1,896.54 is: 4,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.84 : 1,896.54 = 1,896.54 : x
  2. Step 2: Convert to fraction form
    864.84/1,896.54 = 1,896.54/x
  3. Step 3: Cross multiply
    864.84x = 1,896.54 × 1,896.54
  4. Step 4: Simplify right side
    864.84x = 3,596,860.42
  5. Step 5: Solve for x
    x = 3,596,860.42/864.84
  6. Step 6: Final answer
    x = 4,158.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.