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Finding the Third Proportional to 1,895.91 and 4,406.91

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Solution

The third proportional to 1,895.91 and 4,406.91 is: 10,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.91 : 4,406.91 = 4,406.91 : x
  2. Step 2: Convert to fraction form
    1,895.91/4,406.91 = 4,406.91/x
  3. Step 3: Cross multiply
    1,895.91x = 4,406.91 × 4,406.91
  4. Step 4: Simplify right side
    1,895.91x = 19,420,822.70
  5. Step 5: Solve for x
    x = 19,420,822.70/1,895.91
  6. Step 6: Final answer
    x = 10,243.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.