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Finding the Third Proportional to 4,729.63 and 7,130.44

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Solution

The third proportional to 4,729.63 and 7,130.44 is: 10,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.63 : 7,130.44 = 7,130.44 : x
  2. Step 2: Convert to fraction form
    4,729.63/7,130.44 = 7,130.44/x
  3. Step 3: Cross multiply
    4,729.63x = 7,130.44 × 7,130.44
  4. Step 4: Simplify right side
    4,729.63x = 50,843,138.94
  5. Step 5: Solve for x
    x = 50,843,138.94/4,729.63
  6. Step 6: Final answer
    x = 10,749.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.