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Finding the Third Proportional to 9,846.56 and 14,121.84

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Solution

The third proportional to 9,846.56 and 14,121.84 is: 20,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.56 : 14,121.84 = 14,121.84 : x
  2. Step 2: Convert to fraction form
    9,846.56/14,121.84 = 14,121.84/x
  3. Step 3: Cross multiply
    9,846.56x = 14,121.84 × 14,121.84
  4. Step 4: Simplify right side
    9,846.56x = 199,426,470.90
  5. Step 5: Solve for x
    x = 199,426,470.90/9,846.56
  6. Step 6: Final answer
    x = 20,253.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.