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Finding the Third Proportional to 2,020 and 2,059

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Solution

The third proportional to 2,020 and 2,059 is: 2,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020 : 2,059 = 2,059 : x
  2. Step 2: Convert to fraction form
    2,020/2,059 = 2,059/x
  3. Step 3: Cross multiply
    2,020x = 2,059 × 2,059
  4. Step 4: Simplify right side
    2,020x = 4,239,481
  5. Step 5: Solve for x
    x = 4,239,481/2,020
  6. Step 6: Final answer
    x = 2,098.75

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.