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Finding the Third Proportional to 21,091 and 44,534

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Solution

The third proportional to 21,091 and 44,534 is: 94,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091 : 44,534 = 44,534 : x
  2. Step 2: Convert to fraction form
    21,091/44,534 = 44,534/x
  3. Step 3: Cross multiply
    21,091x = 44,534 × 44,534
  4. Step 4: Simplify right side
    21,091x = 1,983,277,156
  5. Step 5: Solve for x
    x = 1,983,277,156/21,091
  6. Step 6: Final answer
    x = 94,034.29

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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.