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Finding the Third Proportional to 22,551.50 and 51,007

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Solution

The third proportional to 22,551.50 and 51,007 is: 115,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551.50 : 51,007 = 51,007 : x
  2. Step 2: Convert to fraction form
    22,551.50/51,007 = 51,007/x
  3. Step 3: Cross multiply
    22,551.50x = 51,007 × 51,007
  4. Step 4: Simplify right side
    22,551.50x = 2,601,714,049
  5. Step 5: Solve for x
    x = 2,601,714,049/22,551.50
  6. Step 6: Final answer
    x = 115,367.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.