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Finding the Third Proportional to 41,511 and 64,858.75

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Solution

The third proportional to 41,511 and 64,858.75 is: 101,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,511 : 64,858.75 = 64,858.75 : x
  2. Step 2: Convert to fraction form
    41,511/64,858.75 = 64,858.75/x
  3. Step 3: Cross multiply
    41,511x = 64,858.75 × 64,858.75
  4. Step 4: Simplify right side
    41,511x = 4,206,657,451.56
  5. Step 5: Solve for x
    x = 4,206,657,451.56/41,511
  6. Step 6: Final answer
    x = 101,338.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.