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Finding the Third Proportional to 31,835 and 43,081.38

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Solution

The third proportional to 31,835 and 43,081.38 is: 58,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835 : 43,081.38 = 43,081.38 : x
  2. Step 2: Convert to fraction form
    31,835/43,081.38 = 43,081.38/x
  3. Step 3: Cross multiply
    31,835x = 43,081.38 × 43,081.38
  4. Step 4: Simplify right side
    31,835x = 1,856,004,871.89
  5. Step 5: Solve for x
    x = 1,856,004,871.89/31,835
  6. Step 6: Final answer
    x = 58,300.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.