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Finding the Third Proportional to 41,546.25 and 63,855

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Solution

The third proportional to 41,546.25 and 63,855 is: 98,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,546.25 : 63,855 = 63,855 : x
  2. Step 2: Convert to fraction form
    41,546.25/63,855 = 63,855/x
  3. Step 3: Cross multiply
    41,546.25x = 63,855 × 63,855
  4. Step 4: Simplify right side
    41,546.25x = 4,077,461,025
  5. Step 5: Solve for x
    x = 4,077,461,025/41,546.25
  6. Step 6: Final answer
    x = 98,142.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.