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Finding the Third Proportional to 31,170.66 and 64,558.69

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Solution

The third proportional to 31,170.66 and 64,558.69 is: 133,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.66 : 64,558.69 = 64,558.69 : x
  2. Step 2: Convert to fraction form
    31,170.66/64,558.69 = 64,558.69/x
  3. Step 3: Cross multiply
    31,170.66x = 64,558.69 × 64,558.69
  4. Step 4: Simplify right side
    31,170.66x = 4,167,824,131.72
  5. Step 5: Solve for x
    x = 4,167,824,131.72/31,170.66
  6. Step 6: Final answer
    x = 133,709.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.