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Finding the Third Proportional to 10,236.75 and 21,703.88

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Solution

The third proportional to 10,236.75 and 21,703.88 is: 46,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.75 : 21,703.88 = 21,703.88 : x
  2. Step 2: Convert to fraction form
    10,236.75/21,703.88 = 21,703.88/x
  3. Step 3: Cross multiply
    10,236.75x = 21,703.88 × 21,703.88
  4. Step 4: Simplify right side
    10,236.75x = 471,058,190.02
  5. Step 5: Solve for x
    x = 471,058,190.02/10,236.75
  6. Step 6: Final answer
    x = 46,016.38

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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.