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Finding the Third Proportional to 22,967.30 and 34,450.95

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Solution

The third proportional to 22,967.30 and 34,450.95 is: 51,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.30 : 34,450.95 = 34,450.95 : x
  2. Step 2: Convert to fraction form
    22,967.30/34,450.95 = 34,450.95/x
  3. Step 3: Cross multiply
    22,967.30x = 34,450.95 × 34,450.95
  4. Step 4: Simplify right side
    22,967.30x = 1,186,867,632.92
  5. Step 5: Solve for x
    x = 1,186,867,632.92/22,967.30
  6. Step 6: Final answer
    x = 51,676.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.