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Finding the Third Proportional to 2,173.50 and 2,939.63

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Solution

The third proportional to 2,173.50 and 2,939.63 is: 3,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.50 : 2,939.63 = 2,939.63 : x
  2. Step 2: Convert to fraction form
    2,173.50/2,939.63 = 2,939.63/x
  3. Step 3: Cross multiply
    2,173.50x = 2,939.63 × 2,939.63
  4. Step 4: Simplify right side
    2,173.50x = 8,641,395.14
  5. Step 5: Solve for x
    x = 8,641,395.14/2,173.50
  6. Step 6: Final answer
    x = 3,975.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.