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Finding the Third Proportional to 43,653.50 and 64,662

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Solution

The third proportional to 43,653.50 and 64,662 is: 95,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,653.50 : 64,662 = 64,662 : x
  2. Step 2: Convert to fraction form
    43,653.50/64,662 = 64,662/x
  3. Step 3: Cross multiply
    43,653.50x = 64,662 × 64,662
  4. Step 4: Simplify right side
    43,653.50x = 4,181,174,244
  5. Step 5: Solve for x
    x = 4,181,174,244/43,653.50
  6. Step 6: Final answer
    x = 95,780.96

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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.