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Finding the Third Proportional to 34,647.50 and 48,272.50

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Solution

The third proportional to 34,647.50 and 48,272.50 is: 67,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,647.50 : 48,272.50 = 48,272.50 : x
  2. Step 2: Convert to fraction form
    34,647.50/48,272.50 = 48,272.50/x
  3. Step 3: Cross multiply
    34,647.50x = 48,272.50 × 48,272.50
  4. Step 4: Simplify right side
    34,647.50x = 2,330,234,256.25
  5. Step 5: Solve for x
    x = 2,330,234,256.25/34,647.50
  6. Step 6: Final answer
    x = 67,255.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.