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Finding the Third Proportional to 9,123.89 and 13,685.84

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Solution

The third proportional to 9,123.89 and 13,685.84 is: 20,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.89 : 13,685.84 = 13,685.84 : x
  2. Step 2: Convert to fraction form
    9,123.89/13,685.84 = 13,685.84/x
  3. Step 3: Cross multiply
    9,123.89x = 13,685.84 × 13,685.84
  4. Step 4: Simplify right side
    9,123.89x = 187,302,105.31
  5. Step 5: Solve for x
    x = 187,302,105.31/9,123.89
  6. Step 6: Final answer
    x = 20,528.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.