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Finding the Third Proportional to 25,704.50 and 59,500.50

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Solution

The third proportional to 25,704.50 and 59,500.50 is: 137,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.50 : 59,500.50 = 59,500.50 : x
  2. Step 2: Convert to fraction form
    25,704.50/59,500.50 = 59,500.50/x
  3. Step 3: Cross multiply
    25,704.50x = 59,500.50 × 59,500.50
  4. Step 4: Simplify right side
    25,704.50x = 3,540,309,500.25
  5. Step 5: Solve for x
    x = 3,540,309,500.25/25,704.50
  6. Step 6: Final answer
    x = 137,731.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.