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Finding the Third Proportional to 33,931.13 and 48,709.69

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Solution

The third proportional to 33,931.13 and 48,709.69 is: 69,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931.13 : 48,709.69 = 48,709.69 : x
  2. Step 2: Convert to fraction form
    33,931.13/48,709.69 = 48,709.69/x
  3. Step 3: Cross multiply
    33,931.13x = 48,709.69 × 48,709.69
  4. Step 4: Simplify right side
    33,931.13x = 2,372,633,656.35
  5. Step 5: Solve for x
    x = 2,372,633,656.35/33,931.13
  6. Step 6: Final answer
    x = 69,924.99

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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.