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Finding the Third Proportional to 7,934.34 and 18,797.91

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Solution

The third proportional to 7,934.34 and 18,797.91 is: 44,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.34 : 18,797.91 = 18,797.91 : x
  2. Step 2: Convert to fraction form
    7,934.34/18,797.91 = 18,797.91/x
  3. Step 3: Cross multiply
    7,934.34x = 18,797.91 × 18,797.91
  4. Step 4: Simplify right side
    7,934.34x = 353,361,279.38
  5. Step 5: Solve for x
    x = 353,361,279.38/7,934.34
  6. Step 6: Final answer
    x = 44,535.67

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.