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Finding the Third Proportional to 9,668.44 and 15,384.50

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Solution

The third proportional to 9,668.44 and 15,384.50 is: 24,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.44 : 15,384.50 = 15,384.50 : x
  2. Step 2: Convert to fraction form
    9,668.44/15,384.50 = 15,384.50/x
  3. Step 3: Cross multiply
    9,668.44x = 15,384.50 × 15,384.50
  4. Step 4: Simplify right side
    9,668.44x = 236,682,840.25
  5. Step 5: Solve for x
    x = 236,682,840.25/9,668.44
  6. Step 6: Final answer
    x = 24,479.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.