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Finding the Third Proportional to 31,835.63 and 43,081.88

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Solution

The third proportional to 31,835.63 and 43,081.88 is: 58,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835.63 : 43,081.88 = 43,081.88 : x
  2. Step 2: Convert to fraction form
    31,835.63/43,081.88 = 43,081.88/x
  3. Step 3: Cross multiply
    31,835.63x = 43,081.88 × 43,081.88
  4. Step 4: Simplify right side
    31,835.63x = 1,856,047,953.52
  5. Step 5: Solve for x
    x = 1,856,047,953.52/31,835.63
  6. Step 6: Final answer
    x = 58,300.97

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