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Finding the Third Proportional to 9,099.88 and 12,228.13

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Solution

The third proportional to 9,099.88 and 12,228.13 is: 16,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.88 : 12,228.13 = 12,228.13 : x
  2. Step 2: Convert to fraction form
    9,099.88/12,228.13 = 12,228.13/x
  3. Step 3: Cross multiply
    9,099.88x = 12,228.13 × 12,228.13
  4. Step 4: Simplify right side
    9,099.88x = 149,527,041.02
  5. Step 5: Solve for x
    x = 149,527,041.02/9,099.88
  6. Step 6: Final answer
    x = 16,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.