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Finding the Third Proportional to 43,006 and 57,938

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Solution

The third proportional to 43,006 and 57,938 is: 78,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,006 : 57,938 = 57,938 : x
  2. Step 2: Convert to fraction form
    43,006/57,938 = 57,938/x
  3. Step 3: Cross multiply
    43,006x = 57,938 × 57,938
  4. Step 4: Simplify right side
    43,006x = 3,356,811,844
  5. Step 5: Solve for x
    x = 3,356,811,844/43,006
  6. Step 6: Final answer
    x = 78,054.50

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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.