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Finding the Third Proportional to 954.75 and 2,334.38

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Solution

The third proportional to 954.75 and 2,334.38 is: 5,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 2,334.38 = 2,334.38 : x
  2. Step 2: Convert to fraction form
    954.75/2,334.38 = 2,334.38/x
  3. Step 3: Cross multiply
    954.75x = 2,334.38 × 2,334.38
  4. Step 4: Simplify right side
    954.75x = 5,449,306.64
  5. Step 5: Solve for x
    x = 5,449,306.64/954.75
  6. Step 6: Final answer
    x = 5,707.57

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.