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Finding the Third Proportional to 4,745.25 and 7,475.63

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Solution

The third proportional to 4,745.25 and 7,475.63 is: 11,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.25 : 7,475.63 = 7,475.63 : x
  2. Step 2: Convert to fraction form
    4,745.25/7,475.63 = 7,475.63/x
  3. Step 3: Cross multiply
    4,745.25x = 7,475.63 × 7,475.63
  4. Step 4: Simplify right side
    4,745.25x = 55,884,969.14
  5. Step 5: Solve for x
    x = 55,884,969.14/4,745.25
  6. Step 6: Final answer
    x = 11,777.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.