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Finding the Third Proportional to 21,260 and 49,406

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Solution

The third proportional to 21,260 and 49,406 is: 114,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260 : 49,406 = 49,406 : x
  2. Step 2: Convert to fraction form
    21,260/49,406 = 49,406/x
  3. Step 3: Cross multiply
    21,260x = 49,406 × 49,406
  4. Step 4: Simplify right side
    21,260x = 2,440,952,836
  5. Step 5: Solve for x
    x = 2,440,952,836/21,260
  6. Step 6: Final answer
    x = 114,814.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.