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Finding the Third Proportional to 4,735.88 and 7,429.78

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Solution

The third proportional to 4,735.88 and 7,429.78 is: 11,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.88 : 7,429.78 = 7,429.78 : x
  2. Step 2: Convert to fraction form
    4,735.88/7,429.78 = 7,429.78/x
  3. Step 3: Cross multiply
    4,735.88x = 7,429.78 × 7,429.78
  4. Step 4: Simplify right side
    4,735.88x = 55,201,649.42
  5. Step 5: Solve for x
    x = 55,201,649.42/4,735.88
  6. Step 6: Final answer
    x = 11,656.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.