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Finding the Third Proportional to 22,451 and 34,359.50

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Solution

The third proportional to 22,451 and 34,359.50 is: 52,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451 : 34,359.50 = 34,359.50 : x
  2. Step 2: Convert to fraction form
    22,451/34,359.50 = 34,359.50/x
  3. Step 3: Cross multiply
    22,451x = 34,359.50 × 34,359.50
  4. Step 4: Simplify right side
    22,451x = 1,180,575,240.25
  5. Step 5: Solve for x
    x = 1,180,575,240.25/22,451
  6. Step 6: Final answer
    x = 52,584.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.