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Finding the Third Proportional to 4,652.44 and 7,489.97

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Solution

The third proportional to 4,652.44 and 7,489.97 is: 12,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.44 : 7,489.97 = 7,489.97 : x
  2. Step 2: Convert to fraction form
    4,652.44/7,489.97 = 7,489.97/x
  3. Step 3: Cross multiply
    4,652.44x = 7,489.97 × 7,489.97
  4. Step 4: Simplify right side
    4,652.44x = 56,099,631.88
  5. Step 5: Solve for x
    x = 56,099,631.88/4,652.44
  6. Step 6: Final answer
    x = 12,058.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.