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Finding the Third Proportional to 9,713.36 and 16,624.62

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Solution

The third proportional to 9,713.36 and 16,624.62 is: 28,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.36 : 16,624.62 = 16,624.62 : x
  2. Step 2: Convert to fraction form
    9,713.36/16,624.62 = 16,624.62/x
  3. Step 3: Cross multiply
    9,713.36x = 16,624.62 × 16,624.62
  4. Step 4: Simplify right side
    9,713.36x = 276,377,896.63
  5. Step 5: Solve for x
    x = 276,377,896.63/9,713.36
  6. Step 6: Final answer
    x = 28,453.39

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.