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Finding the Third Proportional to 4,731.38 and 7,110.60

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Solution

The third proportional to 4,731.38 and 7,110.60 is: 10,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.38 : 7,110.60 = 7,110.60 : x
  2. Step 2: Convert to fraction form
    4,731.38/7,110.60 = 7,110.60/x
  3. Step 3: Cross multiply
    4,731.38x = 7,110.60 × 7,110.60
  4. Step 4: Simplify right side
    4,731.38x = 50,560,599.03
  5. Step 5: Solve for x
    x = 50,560,599.03/4,731.38
  6. Step 6: Final answer
    x = 10,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.