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Finding the Third Proportional to 7,126.10 and 11,341.27

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Solution

The third proportional to 7,126.10 and 11,341.27 is: 18,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.10 : 11,341.27 = 11,341.27 : x
  2. Step 2: Convert to fraction form
    7,126.10/11,341.27 = 11,341.27/x
  3. Step 3: Cross multiply
    7,126.10x = 11,341.27 × 11,341.27
  4. Step 4: Simplify right side
    7,126.10x = 128,624,305.98
  5. Step 5: Solve for x
    x = 128,624,305.98/7,126.10
  6. Step 6: Final answer
    x = 18,049.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.