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Finding the Third Proportional to 3,671.25 and 5,233.50

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Solution

The third proportional to 3,671.25 and 5,233.50 is: 7,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.25 : 5,233.50 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    3,671.25/5,233.50 = 5,233.50/x
  3. Step 3: Cross multiply
    3,671.25x = 5,233.50 × 5,233.50
  4. Step 4: Simplify right side
    3,671.25x = 27,389,522.25
  5. Step 5: Solve for x
    x = 27,389,522.25/3,671.25
  6. Step 6: Final answer
    x = 7,460.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.