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Finding the Third Proportional to 10,923.19 and 12,077.44

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Solution

The third proportional to 10,923.19 and 12,077.44 is: 13,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.19 : 12,077.44 = 12,077.44 : x
  2. Step 2: Convert to fraction form
    10,923.19/12,077.44 = 12,077.44/x
  3. Step 3: Cross multiply
    10,923.19x = 12,077.44 × 12,077.44
  4. Step 4: Simplify right side
    10,923.19x = 145,864,496.57
  5. Step 5: Solve for x
    x = 145,864,496.57/10,923.19
  6. Step 6: Final answer
    x = 13,353.66

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.