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Finding the Third Proportional to 19,151.44 and 29,132.16

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Solution

The third proportional to 19,151.44 and 29,132.16 is: 44,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,151.44 : 29,132.16 = 29,132.16 : x
  2. Step 2: Convert to fraction form
    19,151.44/29,132.16 = 29,132.16/x
  3. Step 3: Cross multiply
    19,151.44x = 29,132.16 × 29,132.16
  4. Step 4: Simplify right side
    19,151.44x = 848,682,527.77
  5. Step 5: Solve for x
    x = 848,682,527.77/19,151.44
  6. Step 6: Final answer
    x = 44,314.30

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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.