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Finding the Third Proportional to 4,759.88 and 7,443.56

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Solution

The third proportional to 4,759.88 and 7,443.56 is: 11,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.88 : 7,443.56 = 7,443.56 : x
  2. Step 2: Convert to fraction form
    4,759.88/7,443.56 = 7,443.56/x
  3. Step 3: Cross multiply
    4,759.88x = 7,443.56 × 7,443.56
  4. Step 4: Simplify right side
    4,759.88x = 55,406,622.69
  5. Step 5: Solve for x
    x = 55,406,622.69/4,759.88
  6. Step 6: Final answer
    x = 11,640.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.