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Finding the Third Proportional to 21,092 and 44,786

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Solution

The third proportional to 21,092 and 44,786 is: 95,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092 : 44,786 = 44,786 : x
  2. Step 2: Convert to fraction form
    21,092/44,786 = 44,786/x
  3. Step 3: Cross multiply
    21,092x = 44,786 × 44,786
  4. Step 4: Simplify right side
    21,092x = 2,005,785,796
  5. Step 5: Solve for x
    x = 2,005,785,796/21,092
  6. Step 6: Final answer
    x = 95,096.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.