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Finding the Third Proportional to 11,365.31 and 18,242.72

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Solution

The third proportional to 11,365.31 and 18,242.72 is: 29,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.31 : 18,242.72 = 18,242.72 : x
  2. Step 2: Convert to fraction form
    11,365.31/18,242.72 = 18,242.72/x
  3. Step 3: Cross multiply
    11,365.31x = 18,242.72 × 18,242.72
  4. Step 4: Simplify right side
    11,365.31x = 332,796,787.39
  5. Step 5: Solve for x
    x = 332,796,787.39/11,365.31
  6. Step 6: Final answer
    x = 29,281.80

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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.