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Finding the Third Proportional to 18,225 and 38,619.91

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Solution

The third proportional to 18,225 and 38,619.91 is: 81,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 38,619.91 = 38,619.91 : x
  2. Step 2: Convert to fraction form
    18,225/38,619.91 = 38,619.91/x
  3. Step 3: Cross multiply
    18,225x = 38,619.91 × 38,619.91
  4. Step 4: Simplify right side
    18,225x = 1,491,497,762.19
  5. Step 5: Solve for x
    x = 1,491,497,762.19/18,225
  6. Step 6: Final answer
    x = 81,838.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.