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Finding the Third Proportional to 4,036.55 and 8,765.09

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Solution

The third proportional to 4,036.55 and 8,765.09 is: 19,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,036.55 : 8,765.09 = 8,765.09 : x
  2. Step 2: Convert to fraction form
    4,036.55/8,765.09 = 8,765.09/x
  3. Step 3: Cross multiply
    4,036.55x = 8,765.09 × 8,765.09
  4. Step 4: Simplify right side
    4,036.55x = 76,826,731.49
  5. Step 5: Solve for x
    x = 76,826,731.49/4,036.55
  6. Step 6: Final answer
    x = 19,032.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.