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Finding the Third Proportional to 9,103.64 and 12,100.64

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Solution

The third proportional to 9,103.64 and 12,100.64 is: 16,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.64 : 12,100.64 = 12,100.64 : x
  2. Step 2: Convert to fraction form
    9,103.64/12,100.64 = 12,100.64/x
  3. Step 3: Cross multiply
    9,103.64x = 12,100.64 × 12,100.64
  4. Step 4: Simplify right side
    9,103.64x = 146,425,503.54
  5. Step 5: Solve for x
    x = 146,425,503.54/9,103.64
  6. Step 6: Final answer
    x = 16,084.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.