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Finding the Third Proportional to 10,419.28 and 22,814.91

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Solution

The third proportional to 10,419.28 and 22,814.91 is: 49,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.28 : 22,814.91 = 22,814.91 : x
  2. Step 2: Convert to fraction form
    10,419.28/22,814.91 = 22,814.91/x
  3. Step 3: Cross multiply
    10,419.28x = 22,814.91 × 22,814.91
  4. Step 4: Simplify right side
    10,419.28x = 520,519,947.20
  5. Step 5: Solve for x
    x = 520,519,947.20/10,419.28
  6. Step 6: Final answer
    x = 49,957.38

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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.