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Finding the Third Proportional to 6,109.17 and 12,313.27

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Solution

The third proportional to 6,109.17 and 12,313.27 is: 24,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.17 : 12,313.27 = 12,313.27 : x
  2. Step 2: Convert to fraction form
    6,109.17/12,313.27 = 12,313.27/x
  3. Step 3: Cross multiply
    6,109.17x = 12,313.27 × 12,313.27
  4. Step 4: Simplify right side
    6,109.17x = 151,616,510.35
  5. Step 5: Solve for x
    x = 151,616,510.35/6,109.17
  6. Step 6: Final answer
    x = 24,817.85

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.