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Finding the Third Proportional to 3,295.50 and 4,623.75

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Solution

The third proportional to 3,295.50 and 4,623.75 is: 6,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.50 : 4,623.75 = 4,623.75 : x
  2. Step 2: Convert to fraction form
    3,295.50/4,623.75 = 4,623.75/x
  3. Step 3: Cross multiply
    3,295.50x = 4,623.75 × 4,623.75
  4. Step 4: Simplify right side
    3,295.50x = 21,379,064.06
  5. Step 5: Solve for x
    x = 21,379,064.06/3,295.50
  6. Step 6: Final answer
    x = 6,487.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.