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Finding the Third Proportional to 31,347 and 43,935

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Solution

The third proportional to 31,347 and 43,935 is: 61,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 43,935 = 43,935 : x
  2. Step 2: Convert to fraction form
    31,347/43,935 = 43,935/x
  3. Step 3: Cross multiply
    31,347x = 43,935 × 43,935
  4. Step 4: Simplify right side
    31,347x = 1,930,284,225
  5. Step 5: Solve for x
    x = 1,930,284,225/31,347
  6. Step 6: Final answer
    x = 61,577.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.