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Finding the Third Proportional to 756.38 and 1,145.91

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Solution

The third proportional to 756.38 and 1,145.91 is: 1,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.38 : 1,145.91 = 1,145.91 : x
  2. Step 2: Convert to fraction form
    756.38/1,145.91 = 1,145.91/x
  3. Step 3: Cross multiply
    756.38x = 1,145.91 × 1,145.91
  4. Step 4: Simplify right side
    756.38x = 1,313,101.13
  5. Step 5: Solve for x
    x = 1,313,101.13/756.38
  6. Step 6: Final answer
    x = 1,736.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.