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Finding the Third Proportional to 41,735.25 and 65,518.88

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Solution

The third proportional to 41,735.25 and 65,518.88 is: 102,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735.25 : 65,518.88 = 65,518.88 : x
  2. Step 2: Convert to fraction form
    41,735.25/65,518.88 = 65,518.88/x
  3. Step 3: Cross multiply
    41,735.25x = 65,518.88 × 65,518.88
  4. Step 4: Simplify right side
    41,735.25x = 4,292,722,981.27
  5. Step 5: Solve for x
    x = 4,292,722,981.27/41,735.25
  6. Step 6: Final answer
    x = 102,856.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.