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Finding the Third Proportional to 9,370 and 20,812

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Solution

The third proportional to 9,370 and 20,812 is: 46,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370 : 20,812 = 20,812 : x
  2. Step 2: Convert to fraction form
    9,370/20,812 = 20,812/x
  3. Step 3: Cross multiply
    9,370x = 20,812 × 20,812
  4. Step 4: Simplify right side
    9,370x = 433,139,344
  5. Step 5: Solve for x
    x = 433,139,344/9,370
  6. Step 6: Final answer
    x = 46,226.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.