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Finding the Third Proportional to 4,309.03 and 6,588.84

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Solution

The third proportional to 4,309.03 and 6,588.84 is: 10,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.03 : 6,588.84 = 6,588.84 : x
  2. Step 2: Convert to fraction form
    4,309.03/6,588.84 = 6,588.84/x
  3. Step 3: Cross multiply
    4,309.03x = 6,588.84 × 6,588.84
  4. Step 4: Simplify right side
    4,309.03x = 43,412,861.96
  5. Step 5: Solve for x
    x = 43,412,861.96/4,309.03
  6. Step 6: Final answer
    x = 10,074.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.