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Finding the Third Proportional to 18,914.13 and 30,216.48

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Solution

The third proportional to 18,914.13 and 30,216.48 is: 48,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,914.13 : 30,216.48 = 30,216.48 : x
  2. Step 2: Convert to fraction form
    18,914.13/30,216.48 = 30,216.48/x
  3. Step 3: Cross multiply
    18,914.13x = 30,216.48 × 30,216.48
  4. Step 4: Simplify right side
    18,914.13x = 913,035,691.92
  5. Step 5: Solve for x
    x = 913,035,691.92/18,914.13
  6. Step 6: Final answer
    x = 48,272.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.