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Finding the Third Proportional to 9,338 and 20,332

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Solution

The third proportional to 9,338 and 20,332 is: 44,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338 : 20,332 = 20,332 : x
  2. Step 2: Convert to fraction form
    9,338/20,332 = 20,332/x
  3. Step 3: Cross multiply
    9,338x = 20,332 × 20,332
  4. Step 4: Simplify right side
    9,338x = 413,390,224
  5. Step 5: Solve for x
    x = 413,390,224/9,338
  6. Step 6: Final answer
    x = 44,269.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.