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Finding the Third Proportional to 18,821.74 and 27,525.45

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Solution

The third proportional to 18,821.74 and 27,525.45 is: 40,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,821.74 : 27,525.45 = 27,525.45 : x
  2. Step 2: Convert to fraction form
    18,821.74/27,525.45 = 27,525.45/x
  3. Step 3: Cross multiply
    18,821.74x = 27,525.45 × 27,525.45
  4. Step 4: Simplify right side
    18,821.74x = 757,650,139.65
  5. Step 5: Solve for x
    x = 757,650,139.65/18,821.74
  6. Step 6: Final answer
    x = 40,253.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.