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Finding the Third Proportional to 22,004 and 48,364

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Solution

The third proportional to 22,004 and 48,364 is: 106,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004 : 48,364 = 48,364 : x
  2. Step 2: Convert to fraction form
    22,004/48,364 = 48,364/x
  3. Step 3: Cross multiply
    22,004x = 48,364 × 48,364
  4. Step 4: Simplify right side
    22,004x = 2,339,076,496
  5. Step 5: Solve for x
    x = 2,339,076,496/22,004
  6. Step 6: Final answer
    x = 106,302.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.