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Finding the Third Proportional to 21,138 and 44,633

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Solution

The third proportional to 21,138 and 44,633 is: 94,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138 : 44,633 = 44,633 : x
  2. Step 2: Convert to fraction form
    21,138/44,633 = 44,633/x
  3. Step 3: Cross multiply
    21,138x = 44,633 × 44,633
  4. Step 4: Simplify right side
    21,138x = 1,992,104,689
  5. Step 5: Solve for x
    x = 1,992,104,689/21,138
  6. Step 6: Final answer
    x = 94,242.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.