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Finding the Third Proportional to 2,401.88 and 3,915.56

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Solution

The third proportional to 2,401.88 and 3,915.56 is: 6,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.88 : 3,915.56 = 3,915.56 : x
  2. Step 2: Convert to fraction form
    2,401.88/3,915.56 = 3,915.56/x
  3. Step 3: Cross multiply
    2,401.88x = 3,915.56 × 3,915.56
  4. Step 4: Simplify right side
    2,401.88x = 15,331,629.69
  5. Step 5: Solve for x
    x = 15,331,629.69/2,401.88
  6. Step 6: Final answer
    x = 6,383.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.