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Finding the Third Proportional to 31,050 and 43,893

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Solution

The third proportional to 31,050 and 43,893 is: 62,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050 : 43,893 = 43,893 : x
  2. Step 2: Convert to fraction form
    31,050/43,893 = 43,893/x
  3. Step 3: Cross multiply
    31,050x = 43,893 × 43,893
  4. Step 4: Simplify right side
    31,050x = 1,926,595,449
  5. Step 5: Solve for x
    x = 1,926,595,449/31,050
  6. Step 6: Final answer
    x = 62,048.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.