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Finding the Third Proportional to 22,011.75 and 45,633.38

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Solution

The third proportional to 22,011.75 and 45,633.38 is: 94,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.75 : 45,633.38 = 45,633.38 : x
  2. Step 2: Convert to fraction form
    22,011.75/45,633.38 = 45,633.38/x
  3. Step 3: Cross multiply
    22,011.75x = 45,633.38 × 45,633.38
  4. Step 4: Simplify right side
    22,011.75x = 2,082,404,913.89
  5. Step 5: Solve for x
    x = 2,082,404,913.89/22,011.75
  6. Step 6: Final answer
    x = 94,604.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.