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Finding the Third Proportional to 945.42 and 2,382.06

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Solution

The third proportional to 945.42 and 2,382.06 is: 6,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.42 : 2,382.06 = 2,382.06 : x
  2. Step 2: Convert to fraction form
    945.42/2,382.06 = 2,382.06/x
  3. Step 3: Cross multiply
    945.42x = 2,382.06 × 2,382.06
  4. Step 4: Simplify right side
    945.42x = 5,674,231.06
  5. Step 5: Solve for x
    x = 5,674,231.06/945.42
  6. Step 6: Final answer
    x = 6,001.80

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.