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Finding the Third Proportional to 2,020.13 and 3,126.19

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Solution

The third proportional to 2,020.13 and 3,126.19 is: 4,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.13 : 3,126.19 = 3,126.19 : x
  2. Step 2: Convert to fraction form
    2,020.13/3,126.19 = 3,126.19/x
  3. Step 3: Cross multiply
    2,020.13x = 3,126.19 × 3,126.19
  4. Step 4: Simplify right side
    2,020.13x = 9,773,048.29
  5. Step 5: Solve for x
    x = 9,773,048.29/2,020.13
  6. Step 6: Final answer
    x = 4,837.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.