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Finding the Third Proportional to 19,207.50 and 44,493

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Solution

The third proportional to 19,207.50 and 44,493 is: 103,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.50 : 44,493 = 44,493 : x
  2. Step 2: Convert to fraction form
    19,207.50/44,493 = 44,493/x
  3. Step 3: Cross multiply
    19,207.50x = 44,493 × 44,493
  4. Step 4: Simplify right side
    19,207.50x = 1,979,627,049
  5. Step 5: Solve for x
    x = 1,979,627,049/19,207.50
  6. Step 6: Final answer
    x = 103,065.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.