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Finding the Third Proportional to 29,546.02 and 64,832.91

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Solution

The third proportional to 29,546.02 and 64,832.91 is: 142,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.02 : 64,832.91 = 64,832.91 : x
  2. Step 2: Convert to fraction form
    29,546.02/64,832.91 = 64,832.91/x
  3. Step 3: Cross multiply
    29,546.02x = 64,832.91 × 64,832.91
  4. Step 4: Simplify right side
    29,546.02x = 4,203,305,732.82
  5. Step 5: Solve for x
    x = 4,203,305,732.82/29,546.02
  6. Step 6: Final answer
    x = 142,263.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.