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Finding the Third Proportional to 18,493.13 and 30,045

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Solution

The third proportional to 18,493.13 and 30,045 is: 48,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.13 : 30,045 = 30,045 : x
  2. Step 2: Convert to fraction form
    18,493.13/30,045 = 30,045/x
  3. Step 3: Cross multiply
    18,493.13x = 30,045 × 30,045
  4. Step 4: Simplify right side
    18,493.13x = 902,702,025
  5. Step 5: Solve for x
    x = 902,702,025/18,493.13
  6. Step 6: Final answer
    x = 48,812.84

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.