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Finding the Third Proportional to 22,996 and 36,476

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Solution

The third proportional to 22,996 and 36,476 is: 57,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 36,476 = 36,476 : x
  2. Step 2: Convert to fraction form
    22,996/36,476 = 36,476/x
  3. Step 3: Cross multiply
    22,996x = 36,476 × 36,476
  4. Step 4: Simplify right side
    22,996x = 1,330,498,576
  5. Step 5: Solve for x
    x = 1,330,498,576/22,996
  6. Step 6: Final answer
    x = 57,857.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.