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Finding the Third Proportional to 756.38 and 1,827.94

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Solution

The third proportional to 756.38 and 1,827.94 is: 4,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.38 : 1,827.94 = 1,827.94 : x
  2. Step 2: Convert to fraction form
    756.38/1,827.94 = 1,827.94/x
  3. Step 3: Cross multiply
    756.38x = 1,827.94 × 1,827.94
  4. Step 4: Simplify right side
    756.38x = 3,341,355.50
  5. Step 5: Solve for x
    x = 3,341,355.50/756.38
  6. Step 6: Final answer
    x = 4,417.59

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.