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Finding the Third Proportional to 41,722.25 and 64,563

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Solution

The third proportional to 41,722.25 and 64,563 is: 99,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722.25 : 64,563 = 64,563 : x
  2. Step 2: Convert to fraction form
    41,722.25/64,563 = 64,563/x
  3. Step 3: Cross multiply
    41,722.25x = 64,563 × 64,563
  4. Step 4: Simplify right side
    41,722.25x = 4,168,380,969
  5. Step 5: Solve for x
    x = 4,168,380,969/41,722.25
  6. Step 6: Final answer
    x = 99,907.87

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