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Finding the Third Proportional to 30,716.24 and 47,439.11

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Solution

The third proportional to 30,716.24 and 47,439.11 is: 73,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.24 : 47,439.11 = 47,439.11 : x
  2. Step 2: Convert to fraction form
    30,716.24/47,439.11 = 47,439.11/x
  3. Step 3: Cross multiply
    30,716.24x = 47,439.11 × 47,439.11
  4. Step 4: Simplify right side
    30,716.24x = 2,250,468,727.68
  5. Step 5: Solve for x
    x = 2,250,468,727.68/30,716.24
  6. Step 6: Final answer
    x = 73,266.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.