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Finding the Third Proportional to 33,709.50 and 48,556.13

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Solution

The third proportional to 33,709.50 and 48,556.13 is: 69,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.50 : 48,556.13 = 48,556.13 : x
  2. Step 2: Convert to fraction form
    33,709.50/48,556.13 = 48,556.13/x
  3. Step 3: Cross multiply
    33,709.50x = 48,556.13 × 48,556.13
  4. Step 4: Simplify right side
    33,709.50x = 2,357,697,275.02
  5. Step 5: Solve for x
    x = 2,357,697,275.02/33,709.50
  6. Step 6: Final answer
    x = 69,941.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.