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Finding the Third Proportional to 4,735.69 and 7,103.63

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Solution

The third proportional to 4,735.69 and 7,103.63 is: 10,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.69 : 7,103.63 = 7,103.63 : x
  2. Step 2: Convert to fraction form
    4,735.69/7,103.63 = 7,103.63/x
  3. Step 3: Cross multiply
    4,735.69x = 7,103.63 × 7,103.63
  4. Step 4: Simplify right side
    4,735.69x = 50,461,488.14
  5. Step 5: Solve for x
    x = 50,461,488.14/4,735.69
  6. Step 6: Final answer
    x = 10,655.58

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