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Finding the Third Proportional to 10,443.94 and 15,668.44

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Solution

The third proportional to 10,443.94 and 15,668.44 is: 23,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.94 : 15,668.44 = 15,668.44 : x
  2. Step 2: Convert to fraction form
    10,443.94/15,668.44 = 15,668.44/x
  3. Step 3: Cross multiply
    10,443.94x = 15,668.44 × 15,668.44
  4. Step 4: Simplify right side
    10,443.94x = 245,499,933.69
  5. Step 5: Solve for x
    x = 245,499,933.69/10,443.94
  6. Step 6: Final answer
    x = 23,506.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.