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Finding the Third Proportional to 2,445.75 and 3,894.75

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Solution

The third proportional to 2,445.75 and 3,894.75 is: 6,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.75 : 3,894.75 = 3,894.75 : x
  2. Step 2: Convert to fraction form
    2,445.75/3,894.75 = 3,894.75/x
  3. Step 3: Cross multiply
    2,445.75x = 3,894.75 × 3,894.75
  4. Step 4: Simplify right side
    2,445.75x = 15,169,077.56
  5. Step 5: Solve for x
    x = 15,169,077.56/2,445.75
  6. Step 6: Final answer
    x = 6,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.