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Finding the Third Proportional to 11,229.19 and 16,842.38

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Solution

The third proportional to 11,229.19 and 16,842.38 is: 25,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.19 : 16,842.38 = 16,842.38 : x
  2. Step 2: Convert to fraction form
    11,229.19/16,842.38 = 16,842.38/x
  3. Step 3: Cross multiply
    11,229.19x = 16,842.38 × 16,842.38
  4. Step 4: Simplify right side
    11,229.19x = 283,665,595.64
  5. Step 5: Solve for x
    x = 283,665,595.64/11,229.19
  6. Step 6: Final answer
    x = 25,261.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.