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Finding the Third Proportional to 8,032 and 9,520

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Solution

The third proportional to 8,032 and 9,520 is: 11,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032 : 9,520 = 9,520 : x
  2. Step 2: Convert to fraction form
    8,032/9,520 = 9,520/x
  3. Step 3: Cross multiply
    8,032x = 9,520 × 9,520
  4. Step 4: Simplify right side
    8,032x = 90,630,400
  5. Step 5: Solve for x
    x = 90,630,400/8,032
  6. Step 6: Final answer
    x = 11,283.67

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.