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Finding the Third Proportional to 41,735.25 and 63,635.63

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Solution

The third proportional to 41,735.25 and 63,635.63 is: 97,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735.25 : 63,635.63 = 63,635.63 : x
  2. Step 2: Convert to fraction form
    41,735.25/63,635.63 = 63,635.63/x
  3. Step 3: Cross multiply
    41,735.25x = 63,635.63 × 63,635.63
  4. Step 4: Simplify right side
    41,735.25x = 4,049,492,769.14
  5. Step 5: Solve for x
    x = 4,049,492,769.14/41,735.25
  6. Step 6: Final answer
    x = 97,028.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.