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Finding the Third Proportional to 11,873.63 and 18,529.31

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Solution

The third proportional to 11,873.63 and 18,529.31 is: 28,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.63 : 18,529.31 = 18,529.31 : x
  2. Step 2: Convert to fraction form
    11,873.63/18,529.31 = 18,529.31/x
  3. Step 3: Cross multiply
    11,873.63x = 18,529.31 × 18,529.31
  4. Step 4: Simplify right side
    11,873.63x = 343,335,421.72
  5. Step 5: Solve for x
    x = 343,335,421.72/11,873.63
  6. Step 6: Final answer
    x = 28,915.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.