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Finding the Third Proportional to 9,623.81 and 22,077.56

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Solution

The third proportional to 9,623.81 and 22,077.56 is: 50,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.81 : 22,077.56 = 22,077.56 : x
  2. Step 2: Convert to fraction form
    9,623.81/22,077.56 = 22,077.56/x
  3. Step 3: Cross multiply
    9,623.81x = 22,077.56 × 22,077.56
  4. Step 4: Simplify right side
    9,623.81x = 487,418,765.94
  5. Step 5: Solve for x
    x = 487,418,765.94/9,623.81
  6. Step 6: Final answer
    x = 50,647.16

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.