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Finding the Third Proportional to 11,552.63 and 18,363.94

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Solution

The third proportional to 11,552.63 and 18,363.94 is: 29,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.63 : 18,363.94 = 18,363.94 : x
  2. Step 2: Convert to fraction form
    11,552.63/18,363.94 = 18,363.94/x
  3. Step 3: Cross multiply
    11,552.63x = 18,363.94 × 18,363.94
  4. Step 4: Simplify right side
    11,552.63x = 337,234,200.50
  5. Step 5: Solve for x
    x = 337,234,200.50/11,552.63
  6. Step 6: Final answer
    x = 29,191.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.