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Finding the Third Proportional to 11,895.19 and 18,834.19

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Solution

The third proportional to 11,895.19 and 18,834.19 is: 29,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.19 : 18,834.19 = 18,834.19 : x
  2. Step 2: Convert to fraction form
    11,895.19/18,834.19 = 18,834.19/x
  3. Step 3: Cross multiply
    11,895.19x = 18,834.19 × 18,834.19
  4. Step 4: Simplify right side
    11,895.19x = 354,726,618.79
  5. Step 5: Solve for x
    x = 354,726,618.79/11,895.19
  6. Step 6: Final answer
    x = 29,821.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.