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Finding the Third Proportional to 41,787 and 64,735

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Solution

The third proportional to 41,787 and 64,735 is: 100,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787 : 64,735 = 64,735 : x
  2. Step 2: Convert to fraction form
    41,787/64,735 = 64,735/x
  3. Step 3: Cross multiply
    41,787x = 64,735 × 64,735
  4. Step 4: Simplify right side
    41,787x = 4,190,620,225
  5. Step 5: Solve for x
    x = 4,190,620,225/41,787
  6. Step 6: Final answer
    x = 100,285.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.