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Finding the Third Proportional to 9,438 and 22,032

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Solution

The third proportional to 9,438 and 22,032 is: 51,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 22,032 = 22,032 : x
  2. Step 2: Convert to fraction form
    9,438/22,032 = 22,032/x
  3. Step 3: Cross multiply
    9,438x = 22,032 × 22,032
  4. Step 4: Simplify right side
    9,438x = 485,409,024
  5. Step 5: Solve for x
    x = 485,409,024/9,438
  6. Step 6: Final answer
    x = 51,431.34

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1.5x scale

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.