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Finding the Third Proportional to 750.36 and 1,727.10

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Solution

The third proportional to 750.36 and 1,727.10 is: 3,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.36 : 1,727.10 = 1,727.10 : x
  2. Step 2: Convert to fraction form
    750.36/1,727.10 = 1,727.10/x
  3. Step 3: Cross multiply
    750.36x = 1,727.10 × 1,727.10
  4. Step 4: Simplify right side
    750.36x = 2,982,886.55
  5. Step 5: Solve for x
    x = 2,982,886.55/750.36
  6. Step 6: Final answer
    x = 3,975.29

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.