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Finding the Third Proportional to 2,011.88 and 3,077.63

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Solution

The third proportional to 2,011.88 and 3,077.63 is: 4,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.88 : 3,077.63 = 3,077.63 : x
  2. Step 2: Convert to fraction form
    2,011.88/3,077.63 = 3,077.63/x
  3. Step 3: Cross multiply
    2,011.88x = 3,077.63 × 3,077.63
  4. Step 4: Simplify right side
    2,011.88x = 9,471,775.64
  5. Step 5: Solve for x
    x = 9,471,775.64/2,011.88
  6. Step 6: Final answer
    x = 4,707.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.