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Finding the Third Proportional to 19,854 and 41,340.38

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Solution

The third proportional to 19,854 and 41,340.38 is: 86,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854 : 41,340.38 = 41,340.38 : x
  2. Step 2: Convert to fraction form
    19,854/41,340.38 = 41,340.38/x
  3. Step 3: Cross multiply
    19,854x = 41,340.38 × 41,340.38
  4. Step 4: Simplify right side
    19,854x = 1,709,026,605.14
  5. Step 5: Solve for x
    x = 1,709,026,605.14/19,854
  6. Step 6: Final answer
    x = 86,079.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.