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Finding the Third Proportional to 30,509.79 and 47,236.92

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Solution

The third proportional to 30,509.79 and 47,236.92 is: 73,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.79 : 47,236.92 = 47,236.92 : x
  2. Step 2: Convert to fraction form
    30,509.79/47,236.92 = 47,236.92/x
  3. Step 3: Cross multiply
    30,509.79x = 47,236.92 × 47,236.92
  4. Step 4: Simplify right side
    30,509.79x = 2,231,326,788.22
  5. Step 5: Solve for x
    x = 2,231,326,788.22/30,509.79
  6. Step 6: Final answer
    x = 73,134.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.