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Finding the Third Proportional to 29,111.48 and 41,201.16

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Solution

The third proportional to 29,111.48 and 41,201.16 is: 58,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,111.48 : 41,201.16 = 41,201.16 : x
  2. Step 2: Convert to fraction form
    29,111.48/41,201.16 = 41,201.16/x
  3. Step 3: Cross multiply
    29,111.48x = 41,201.16 × 41,201.16
  4. Step 4: Simplify right side
    29,111.48x = 1,697,535,276.34
  5. Step 5: Solve for x
    x = 1,697,535,276.34/29,111.48
  6. Step 6: Final answer
    x = 58,311.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.