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Finding the Third Proportional to 19,441.50 and 40,179

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Solution

The third proportional to 19,441.50 and 40,179 is: 83,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441.50 : 40,179 = 40,179 : x
  2. Step 2: Convert to fraction form
    19,441.50/40,179 = 40,179/x
  3. Step 3: Cross multiply
    19,441.50x = 40,179 × 40,179
  4. Step 4: Simplify right side
    19,441.50x = 1,614,352,041
  5. Step 5: Solve for x
    x = 1,614,352,041/19,441.50
  6. Step 6: Final answer
    x = 83,036.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.