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Finding the Third Proportional to 4,954.92 and 10,430.96

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Solution

The third proportional to 4,954.92 and 10,430.96 is: 21,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.92 : 10,430.96 = 10,430.96 : x
  2. Step 2: Convert to fraction form
    4,954.92/10,430.96 = 10,430.96/x
  3. Step 3: Cross multiply
    4,954.92x = 10,430.96 × 10,430.96
  4. Step 4: Simplify right side
    4,954.92x = 108,805,027.57
  5. Step 5: Solve for x
    x = 108,805,027.57/4,954.92
  6. Step 6: Final answer
    x = 21,958.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.