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Finding the Third Proportional to 11,306 and 16,620.31

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Solution

The third proportional to 11,306 and 16,620.31 is: 24,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 16,620.31 = 16,620.31 : x
  2. Step 2: Convert to fraction form
    11,306/16,620.31 = 16,620.31/x
  3. Step 3: Cross multiply
    11,306x = 16,620.31 × 16,620.31
  4. Step 4: Simplify right side
    11,306x = 276,234,787.60
  5. Step 5: Solve for x
    x = 276,234,787.60/11,306
  6. Step 6: Final answer
    x = 24,432.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.