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Finding the Third Proportional to 43,664.63 and 65,838.38

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Solution

The third proportional to 43,664.63 and 65,838.38 is: 99,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664.63 : 65,838.38 = 65,838.38 : x
  2. Step 2: Convert to fraction form
    43,664.63/65,838.38 = 65,838.38/x
  3. Step 3: Cross multiply
    43,664.63x = 65,838.38 × 65,838.38
  4. Step 4: Simplify right side
    43,664.63x = 4,334,691,622.64
  5. Step 5: Solve for x
    x = 4,334,691,622.64/43,664.63
  6. Step 6: Final answer
    x = 99,272.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.