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Finding the Third Proportional to 29,991.94 and 65,633.63

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Solution

The third proportional to 29,991.94 and 65,633.63 is: 143,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,991.94 : 65,633.63 = 65,633.63 : x
  2. Step 2: Convert to fraction form
    29,991.94/65,633.63 = 65,633.63/x
  3. Step 3: Cross multiply
    29,991.94x = 65,633.63 × 65,633.63
  4. Step 4: Simplify right side
    29,991.94x = 4,307,772,730.64
  5. Step 5: Solve for x
    x = 4,307,772,730.64/29,991.94
  6. Step 6: Final answer
    x = 143,631.03

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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.