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Finding the Third Proportional to 11,874.94 and 15,986.53

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Solution

The third proportional to 11,874.94 and 15,986.53 is: 21,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.94 : 15,986.53 = 15,986.53 : x
  2. Step 2: Convert to fraction form
    11,874.94/15,986.53 = 15,986.53/x
  3. Step 3: Cross multiply
    11,874.94x = 15,986.53 × 15,986.53
  4. Step 4: Simplify right side
    11,874.94x = 255,569,181.41
  5. Step 5: Solve for x
    x = 255,569,181.41/11,874.94
  6. Step 6: Final answer
    x = 21,521.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.