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Finding the Third Proportional to 10,491.75 and 14,439.38

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Solution

The third proportional to 10,491.75 and 14,439.38 is: 19,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.75 : 14,439.38 = 14,439.38 : x
  2. Step 2: Convert to fraction form
    10,491.75/14,439.38 = 14,439.38/x
  3. Step 3: Cross multiply
    10,491.75x = 14,439.38 × 14,439.38
  4. Step 4: Simplify right side
    10,491.75x = 208,495,550.39
  5. Step 5: Solve for x
    x = 208,495,550.39/10,491.75
  6. Step 6: Final answer
    x = 19,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.