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Finding the Third Proportional to 29,862 and 44,111.25

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Solution

The third proportional to 29,862 and 44,111.25 is: 65,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,862 : 44,111.25 = 44,111.25 : x
  2. Step 2: Convert to fraction form
    29,862/44,111.25 = 44,111.25/x
  3. Step 3: Cross multiply
    29,862x = 44,111.25 × 44,111.25
  4. Step 4: Simplify right side
    29,862x = 1,945,802,376.56
  5. Step 5: Solve for x
    x = 1,945,802,376.56/29,862
  6. Step 6: Final answer
    x = 65,159.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.