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Finding the Third Proportional to 898.31 and 1,923.94

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Solution

The third proportional to 898.31 and 1,923.94 is: 4,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.31 : 1,923.94 = 1,923.94 : x
  2. Step 2: Convert to fraction form
    898.31/1,923.94 = 1,923.94/x
  3. Step 3: Cross multiply
    898.31x = 1,923.94 × 1,923.94
  4. Step 4: Simplify right side
    898.31x = 3,701,535.50
  5. Step 5: Solve for x
    x = 3,701,535.50/898.31
  6. Step 6: Final answer
    x = 4,120.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.