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Finding the Third Proportional to 955.13 and 2,323.69

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Solution

The third proportional to 955.13 and 2,323.69 is: 5,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.13 : 2,323.69 = 2,323.69 : x
  2. Step 2: Convert to fraction form
    955.13/2,323.69 = 2,323.69/x
  3. Step 3: Cross multiply
    955.13x = 2,323.69 × 2,323.69
  4. Step 4: Simplify right side
    955.13x = 5,399,523.60
  5. Step 5: Solve for x
    x = 5,399,523.60/955.13
  6. Step 6: Final answer
    x = 5,653.21

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.