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Finding the Third Proportional to 11,725.22 and 18,337.48

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Solution

The third proportional to 11,725.22 and 18,337.48 is: 28,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.22 : 18,337.48 = 18,337.48 : x
  2. Step 2: Convert to fraction form
    11,725.22/18,337.48 = 18,337.48/x
  3. Step 3: Cross multiply
    11,725.22x = 18,337.48 × 18,337.48
  4. Step 4: Simplify right side
    11,725.22x = 336,263,261.57
  5. Step 5: Solve for x
    x = 336,263,261.57/11,725.22
  6. Step 6: Final answer
    x = 28,678.62

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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.