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Finding the Third Proportional to 3,237.75 and 4,885.31

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Solution

The third proportional to 3,237.75 and 4,885.31 is: 7,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.75 : 4,885.31 = 4,885.31 : x
  2. Step 2: Convert to fraction form
    3,237.75/4,885.31 = 4,885.31/x
  3. Step 3: Cross multiply
    3,237.75x = 4,885.31 × 4,885.31
  4. Step 4: Simplify right side
    3,237.75x = 23,866,278.22
  5. Step 5: Solve for x
    x = 23,866,278.22/3,237.75
  6. Step 6: Final answer
    x = 7,371.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.