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Finding the Third Proportional to 908.72 and 1,935.84

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Solution

The third proportional to 908.72 and 1,935.84 is: 4,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.72 : 1,935.84 = 1,935.84 : x
  2. Step 2: Convert to fraction form
    908.72/1,935.84 = 1,935.84/x
  3. Step 3: Cross multiply
    908.72x = 1,935.84 × 1,935.84
  4. Step 4: Simplify right side
    908.72x = 3,747,491.02
  5. Step 5: Solve for x
    x = 3,747,491.02/908.72
  6. Step 6: Final answer
    x = 4,123.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.