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Finding the Third Proportional to 22,002 and 45,564

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Solution

The third proportional to 22,002 and 45,564 is: 94,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 45,564 = 45,564 : x
  2. Step 2: Convert to fraction form
    22,002/45,564 = 45,564/x
  3. Step 3: Cross multiply
    22,002x = 45,564 × 45,564
  4. Step 4: Simplify right side
    22,002x = 2,076,078,096
  5. Step 5: Solve for x
    x = 2,076,078,096/22,002
  6. Step 6: Final answer
    x = 94,358.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.