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Finding the Third Proportional to 2,632.50 and 4,168.97

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Solution

The third proportional to 2,632.50 and 4,168.97 is: 6,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.50 : 4,168.97 = 4,168.97 : x
  2. Step 2: Convert to fraction form
    2,632.50/4,168.97 = 4,168.97/x
  3. Step 3: Cross multiply
    2,632.50x = 4,168.97 × 4,168.97
  4. Step 4: Simplify right side
    2,632.50x = 17,380,300.44
  5. Step 5: Solve for x
    x = 17,380,300.44/2,632.50
  6. Step 6: Final answer
    x = 6,602.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.