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Finding the Third Proportional to 11,429.86 and 16,313.27

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Solution

The third proportional to 11,429.86 and 16,313.27 is: 23,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.86 : 16,313.27 = 16,313.27 : x
  2. Step 2: Convert to fraction form
    11,429.86/16,313.27 = 16,313.27/x
  3. Step 3: Cross multiply
    11,429.86x = 16,313.27 × 16,313.27
  4. Step 4: Simplify right side
    11,429.86x = 266,122,890.25
  5. Step 5: Solve for x
    x = 266,122,890.25/11,429.86
  6. Step 6: Final answer
    x = 23,283.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.