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Finding the Third Proportional to 41,110 and 65,035.50

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Solution

The third proportional to 41,110 and 65,035.50 is: 102,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,110 : 65,035.50 = 65,035.50 : x
  2. Step 2: Convert to fraction form
    41,110/65,035.50 = 65,035.50/x
  3. Step 3: Cross multiply
    41,110x = 65,035.50 × 65,035.50
  4. Step 4: Simplify right side
    41,110x = 4,229,616,260.25
  5. Step 5: Solve for x
    x = 4,229,616,260.25/41,110
  6. Step 6: Final answer
    x = 102,885.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.