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Finding the Third Proportional to 21,106 and 44,596

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Solution

The third proportional to 21,106 and 44,596 is: 94,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106 : 44,596 = 44,596 : x
  2. Step 2: Convert to fraction form
    21,106/44,596 = 44,596/x
  3. Step 3: Cross multiply
    21,106x = 44,596 × 44,596
  4. Step 4: Simplify right side
    21,106x = 1,988,803,216
  5. Step 5: Solve for x
    x = 1,988,803,216/21,106
  6. Step 6: Final answer
    x = 94,229.28

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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.