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Finding the Third Proportional to 13,043.25 and 21,000.38

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Solution

The third proportional to 13,043.25 and 21,000.38 is: 33,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.25 : 21,000.38 = 21,000.38 : x
  2. Step 2: Convert to fraction form
    13,043.25/21,000.38 = 21,000.38/x
  3. Step 3: Cross multiply
    13,043.25x = 21,000.38 × 21,000.38
  4. Step 4: Simplify right side
    13,043.25x = 441,015,750.14
  5. Step 5: Solve for x
    x = 441,015,750.14/13,043.25
  6. Step 6: Final answer
    x = 33,811.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.