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Finding the Third Proportional to 34,023.80 and 48,319.03

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Solution

The third proportional to 34,023.80 and 48,319.03 is: 68,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023.80 : 48,319.03 = 48,319.03 : x
  2. Step 2: Convert to fraction form
    34,023.80/48,319.03 = 48,319.03/x
  3. Step 3: Cross multiply
    34,023.80x = 48,319.03 × 48,319.03
  4. Step 4: Simplify right side
    34,023.80x = 2,334,728,780.94
  5. Step 5: Solve for x
    x = 2,334,728,780.94/34,023.80
  6. Step 6: Final answer
    x = 68,620.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.