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Finding the Third Proportional to 4,032 and 9,412

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Solution

The third proportional to 4,032 and 9,412 is: 21,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032 : 9,412 = 9,412 : x
  2. Step 2: Convert to fraction form
    4,032/9,412 = 9,412/x
  3. Step 3: Cross multiply
    4,032x = 9,412 × 9,412
  4. Step 4: Simplify right side
    4,032x = 88,585,744
  5. Step 5: Solve for x
    x = 88,585,744/4,032
  6. Step 6: Final answer
    x = 21,970.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.