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Finding the Third Proportional to 2,077.88 and 3,020.06

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Solution

The third proportional to 2,077.88 and 3,020.06 is: 4,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.88 : 3,020.06 = 3,020.06 : x
  2. Step 2: Convert to fraction form
    2,077.88/3,020.06 = 3,020.06/x
  3. Step 3: Cross multiply
    2,077.88x = 3,020.06 × 3,020.06
  4. Step 4: Simplify right side
    2,077.88x = 9,120,777.50
  5. Step 5: Solve for x
    x = 9,120,777.50/2,077.88
  6. Step 6: Final answer
    x = 4,389.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.