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Finding the Third Proportional to 1,340 and 2,020

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Solution

The third proportional to 1,340 and 2,020 is: 3,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340 : 2,020 = 2,020 : x
  2. Step 2: Convert to fraction form
    1,340/2,020 = 2,020/x
  3. Step 3: Cross multiply
    1,340x = 2,020 × 2,020
  4. Step 4: Simplify right side
    1,340x = 4,080,400
  5. Step 5: Solve for x
    x = 4,080,400/1,340
  6. Step 6: Final answer
    x = 3,045.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.