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Finding the Third Proportional to 4,551.75 and 5,754.38

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Solution

The third proportional to 4,551.75 and 5,754.38 is: 7,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.75 : 5,754.38 = 5,754.38 : x
  2. Step 2: Convert to fraction form
    4,551.75/5,754.38 = 5,754.38/x
  3. Step 3: Cross multiply
    4,551.75x = 5,754.38 × 5,754.38
  4. Step 4: Simplify right side
    4,551.75x = 33,112,831.64
  5. Step 5: Solve for x
    x = 33,112,831.64/4,551.75
  6. Step 6: Final answer
    x = 7,274.75

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.