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Finding the Third Proportional to 19,170.75 and 41,007

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Solution

The third proportional to 19,170.75 and 41,007 is: 87,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,170.75 : 41,007 = 41,007 : x
  2. Step 2: Convert to fraction form
    19,170.75/41,007 = 41,007/x
  3. Step 3: Cross multiply
    19,170.75x = 41,007 × 41,007
  4. Step 4: Simplify right side
    19,170.75x = 1,681,574,049
  5. Step 5: Solve for x
    x = 1,681,574,049/19,170.75
  6. Step 6: Final answer
    x = 87,715.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.