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Finding the Third Proportional to 20,560.50 and 31,257.56

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Solution

The third proportional to 20,560.50 and 31,257.56 is: 47,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.50 : 31,257.56 = 31,257.56 : x
  2. Step 2: Convert to fraction form
    20,560.50/31,257.56 = 31,257.56/x
  3. Step 3: Cross multiply
    20,560.50x = 31,257.56 × 31,257.56
  4. Step 4: Simplify right side
    20,560.50x = 977,035,213.44
  5. Step 5: Solve for x
    x = 977,035,213.44/20,560.50
  6. Step 6: Final answer
    x = 47,520.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.