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Finding the Third Proportional to 22,251 and 51,739.50

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Solution

The third proportional to 22,251 and 51,739.50 is: 120,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251 : 51,739.50 = 51,739.50 : x
  2. Step 2: Convert to fraction form
    22,251/51,739.50 = 51,739.50/x
  3. Step 3: Cross multiply
    22,251x = 51,739.50 × 51,739.50
  4. Step 4: Simplify right side
    22,251x = 2,676,975,860.25
  5. Step 5: Solve for x
    x = 2,676,975,860.25/22,251
  6. Step 6: Final answer
    x = 120,308.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.