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Finding the Third Proportional to 34,069.50 and 48,768.75

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Solution

The third proportional to 34,069.50 and 48,768.75 is: 69,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,069.50 : 48,768.75 = 48,768.75 : x
  2. Step 2: Convert to fraction form
    34,069.50/48,768.75 = 48,768.75/x
  3. Step 3: Cross multiply
    34,069.50x = 48,768.75 × 48,768.75
  4. Step 4: Simplify right side
    34,069.50x = 2,378,390,976.56
  5. Step 5: Solve for x
    x = 2,378,390,976.56/34,069.50
  6. Step 6: Final answer
    x = 69,809.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.