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Finding the Third Proportional to 11,552.63 and 18,599.63

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Solution

The third proportional to 11,552.63 and 18,599.63 is: 29,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.63 : 18,599.63 = 18,599.63 : x
  2. Step 2: Convert to fraction form
    11,552.63/18,599.63 = 18,599.63/x
  3. Step 3: Cross multiply
    11,552.63x = 18,599.63 × 18,599.63
  4. Step 4: Simplify right side
    11,552.63x = 345,946,050.14
  5. Step 5: Solve for x
    x = 345,946,050.14/11,552.63
  6. Step 6: Final answer
    x = 29,945.23

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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.