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Finding the Third Proportional to 18,835.88 and 30,299.06

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Solution

The third proportional to 18,835.88 and 30,299.06 is: 48,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835.88 : 30,299.06 = 30,299.06 : x
  2. Step 2: Convert to fraction form
    18,835.88/30,299.06 = 30,299.06/x
  3. Step 3: Cross multiply
    18,835.88x = 30,299.06 × 30,299.06
  4. Step 4: Simplify right side
    18,835.88x = 918,033,188.38
  5. Step 5: Solve for x
    x = 918,033,188.38/18,835.88
  6. Step 6: Final answer
    x = 48,738.55

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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.