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Finding the Third Proportional to 10,431 and 21,728.25

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Solution

The third proportional to 10,431 and 21,728.25 is: 45,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 21,728.25 = 21,728.25 : x
  2. Step 2: Convert to fraction form
    10,431/21,728.25 = 21,728.25/x
  3. Step 3: Cross multiply
    10,431x = 21,728.25 × 21,728.25
  4. Step 4: Simplify right side
    10,431x = 472,116,848.06
  5. Step 5: Solve for x
    x = 472,116,848.06/10,431
  6. Step 6: Final answer
    x = 45,260.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.