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Finding the Third Proportional to 10,054 and 21,494

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Solution

The third proportional to 10,054 and 21,494 is: 45,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 21,494 = 21,494 : x
  2. Step 2: Convert to fraction form
    10,054/21,494 = 21,494/x
  3. Step 3: Cross multiply
    10,054x = 21,494 × 21,494
  4. Step 4: Simplify right side
    10,054x = 461,992,036
  5. Step 5: Solve for x
    x = 461,992,036/10,054
  6. Step 6: Final answer
    x = 45,951.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.