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Finding the Third Proportional to 10,419.26 and 22,814.79

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Solution

The third proportional to 10,419.26 and 22,814.79 is: 49,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.26 : 22,814.79 = 22,814.79 : x
  2. Step 2: Convert to fraction form
    10,419.26/22,814.79 = 22,814.79/x
  3. Step 3: Cross multiply
    10,419.26x = 22,814.79 × 22,814.79
  4. Step 4: Simplify right side
    10,419.26x = 520,514,599.97
  5. Step 5: Solve for x
    x = 520,514,599.97/10,419.26
  6. Step 6: Final answer
    x = 49,956.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.