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Finding the Third Proportional to 43,050 and 62,862

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Solution

The third proportional to 43,050 and 62,862 is: 91,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 62,862 = 62,862 : x
  2. Step 2: Convert to fraction form
    43,050/62,862 = 62,862/x
  3. Step 3: Cross multiply
    43,050x = 62,862 × 62,862
  4. Step 4: Simplify right side
    43,050x = 3,951,631,044
  5. Step 5: Solve for x
    x = 3,951,631,044/43,050
  6. Step 6: Final answer
    x = 91,791.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.