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Finding the Third Proportional to 3,457.69 and 6,523.03

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Solution

The third proportional to 3,457.69 and 6,523.03 is: 12,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 6,523.03 = 6,523.03 : x
  2. Step 2: Convert to fraction form
    3,457.69/6,523.03 = 6,523.03/x
  3. Step 3: Cross multiply
    3,457.69x = 6,523.03 × 6,523.03
  4. Step 4: Simplify right side
    3,457.69x = 42,549,936.69
  5. Step 5: Solve for x
    x = 42,549,936.69/3,457.69
  6. Step 6: Final answer
    x = 12,305.89

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.