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Finding the Third Proportional to 19,189.13 and 29,081.81

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Solution

The third proportional to 19,189.13 and 29,081.81 is: 44,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.13 : 29,081.81 = 29,081.81 : x
  2. Step 2: Convert to fraction form
    19,189.13/29,081.81 = 29,081.81/x
  3. Step 3: Cross multiply
    19,189.13x = 29,081.81 × 29,081.81
  4. Step 4: Simplify right side
    19,189.13x = 845,751,818.29
  5. Step 5: Solve for x
    x = 845,751,818.29/19,189.13
  6. Step 6: Final answer
    x = 44,074.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.