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Finding the Third Proportional to 9,144.56 and 12,420.84

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Solution

The third proportional to 9,144.56 and 12,420.84 is: 16,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.56 : 12,420.84 = 12,420.84 : x
  2. Step 2: Convert to fraction form
    9,144.56/12,420.84 = 12,420.84/x
  3. Step 3: Cross multiply
    9,144.56x = 12,420.84 × 12,420.84
  4. Step 4: Simplify right side
    9,144.56x = 154,277,359.46
  5. Step 5: Solve for x
    x = 154,277,359.46/9,144.56
  6. Step 6: Final answer
    x = 16,870.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.