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Finding the Third Proportional to 3,836.53 and 5,693.63

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Solution

The third proportional to 3,836.53 and 5,693.63 is: 8,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.53 : 5,693.63 = 5,693.63 : x
  2. Step 2: Convert to fraction form
    3,836.53/5,693.63 = 5,693.63/x
  3. Step 3: Cross multiply
    3,836.53x = 5,693.63 × 5,693.63
  4. Step 4: Simplify right side
    3,836.53x = 32,417,365.64
  5. Step 5: Solve for x
    x = 32,417,365.64/3,836.53
  6. Step 6: Final answer
    x = 8,449.66

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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.