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Finding the Third Proportional to 10,467.28 and 14,213.81

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Solution

The third proportional to 10,467.28 and 14,213.81 is: 19,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.28 : 14,213.81 = 14,213.81 : x
  2. Step 2: Convert to fraction form
    10,467.28/14,213.81 = 14,213.81/x
  3. Step 3: Cross multiply
    10,467.28x = 14,213.81 × 14,213.81
  4. Step 4: Simplify right side
    10,467.28x = 202,032,465.79
  5. Step 5: Solve for x
    x = 202,032,465.79/10,467.28
  6. Step 6: Final answer
    x = 19,301.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.