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Finding the Third Proportional to 6,414 and 11,491.50

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Solution

The third proportional to 6,414 and 11,491.50 is: 20,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 11,491.50 = 11,491.50 : x
  2. Step 2: Convert to fraction form
    6,414/11,491.50 = 11,491.50/x
  3. Step 3: Cross multiply
    6,414x = 11,491.50 × 11,491.50
  4. Step 4: Simplify right side
    6,414x = 132,054,572.25
  5. Step 5: Solve for x
    x = 132,054,572.25/6,414
  6. Step 6: Final answer
    x = 20,588.49

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.