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Finding the Third Proportional to 20,342.50 and 29,580.75

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Solution

The third proportional to 20,342.50 and 29,580.75 is: 43,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.50 : 29,580.75 = 29,580.75 : x
  2. Step 2: Convert to fraction form
    20,342.50/29,580.75 = 29,580.75/x
  3. Step 3: Cross multiply
    20,342.50x = 29,580.75 × 29,580.75
  4. Step 4: Simplify right side
    20,342.50x = 875,020,770.56
  5. Step 5: Solve for x
    x = 875,020,770.56/20,342.50
  6. Step 6: Final answer
    x = 43,014.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.