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Finding the Third Proportional to 4,122.75 and 9,965.06

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Solution

The third proportional to 4,122.75 and 9,965.06 is: 24,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.75 : 9,965.06 = 9,965.06 : x
  2. Step 2: Convert to fraction form
    4,122.75/9,965.06 = 9,965.06/x
  3. Step 3: Cross multiply
    4,122.75x = 9,965.06 × 9,965.06
  4. Step 4: Simplify right side
    4,122.75x = 99,302,470.63
  5. Step 5: Solve for x
    x = 99,302,470.63/4,122.75
  6. Step 6: Final answer
    x = 24,086.46

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.