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Finding the Third Proportional to 43,007.63 and 65,638.69

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Solution

The third proportional to 43,007.63 and 65,638.69 is: 100,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,007.63 : 65,638.69 = 65,638.69 : x
  2. Step 2: Convert to fraction form
    43,007.63/65,638.69 = 65,638.69/x
  3. Step 3: Cross multiply
    43,007.63x = 65,638.69 × 65,638.69
  4. Step 4: Simplify right side
    43,007.63x = 4,308,437,296.72
  5. Step 5: Solve for x
    x = 4,308,437,296.72/43,007.63
  6. Step 6: Final answer
    x = 100,178.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.