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Finding the Third Proportional to 18,846 and 40,970.25

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Solution

The third proportional to 18,846 and 40,970.25 is: 89,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846 : 40,970.25 = 40,970.25 : x
  2. Step 2: Convert to fraction form
    18,846/40,970.25 = 40,970.25/x
  3. Step 3: Cross multiply
    18,846x = 40,970.25 × 40,970.25
  4. Step 4: Simplify right side
    18,846x = 1,678,561,385.06
  5. Step 5: Solve for x
    x = 1,678,561,385.06/18,846
  6. Step 6: Final answer
    x = 89,067.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.