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Finding the Third Proportional to 10,213.03 and 14,063.91

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Solution

The third proportional to 10,213.03 and 14,063.91 is: 19,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.03 : 14,063.91 = 14,063.91 : x
  2. Step 2: Convert to fraction form
    10,213.03/14,063.91 = 14,063.91/x
  3. Step 3: Cross multiply
    10,213.03x = 14,063.91 × 14,063.91
  4. Step 4: Simplify right side
    10,213.03x = 197,793,459.01
  5. Step 5: Solve for x
    x = 197,793,459.01/10,213.03
  6. Step 6: Final answer
    x = 19,366.77

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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.