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Finding the Third Proportional to 2,120 and 4,033

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Solution

The third proportional to 2,120 and 4,033 is: 7,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 4,033 = 4,033 : x
  2. Step 2: Convert to fraction form
    2,120/4,033 = 4,033/x
  3. Step 3: Cross multiply
    2,120x = 4,033 × 4,033
  4. Step 4: Simplify right side
    2,120x = 16,265,089
  5. Step 5: Solve for x
    x = 16,265,089/2,120
  6. Step 6: Final answer
    x = 7,672.21

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.