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Finding the Third Proportional to 3,059.72 and 4,588.03

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Solution

The third proportional to 3,059.72 and 4,588.03 is: 6,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.72 : 4,588.03 = 4,588.03 : x
  2. Step 2: Convert to fraction form
    3,059.72/4,588.03 = 4,588.03/x
  3. Step 3: Cross multiply
    3,059.72x = 4,588.03 × 4,588.03
  4. Step 4: Simplify right side
    3,059.72x = 21,050,030.75
  5. Step 5: Solve for x
    x = 21,050,030.75/3,059.72
  6. Step 6: Final answer
    x = 6,879.73

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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.