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Finding the Third Proportional to 14,250.94 and 20,822.06

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Solution

The third proportional to 14,250.94 and 20,822.06 is: 30,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,250.94 : 20,822.06 = 20,822.06 : x
  2. Step 2: Convert to fraction form
    14,250.94/20,822.06 = 20,822.06/x
  3. Step 3: Cross multiply
    14,250.94x = 20,822.06 × 20,822.06
  4. Step 4: Simplify right side
    14,250.94x = 433,558,286.75
  5. Step 5: Solve for x
    x = 433,558,286.75/14,250.94
  6. Step 6: Final answer
    x = 30,423.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.