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Finding the Third Proportional to 29,538.56 and 43,844.06

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Solution

The third proportional to 29,538.56 and 43,844.06 is: 65,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.56 : 43,844.06 = 43,844.06 : x
  2. Step 2: Convert to fraction form
    29,538.56/43,844.06 = 43,844.06/x
  3. Step 3: Cross multiply
    29,538.56x = 43,844.06 × 43,844.06
  4. Step 4: Simplify right side
    29,538.56x = 1,922,301,816.50
  5. Step 5: Solve for x
    x = 1,922,301,816.50/29,538.56
  6. Step 6: Final answer
    x = 65,077.70

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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.