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Finding the Third Proportional to 43,131 and 57,967.50

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Solution

The third proportional to 43,131 and 57,967.50 is: 77,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,131 : 57,967.50 = 57,967.50 : x
  2. Step 2: Convert to fraction form
    43,131/57,967.50 = 57,967.50/x
  3. Step 3: Cross multiply
    43,131x = 57,967.50 × 57,967.50
  4. Step 4: Simplify right side
    43,131x = 3,360,231,056.25
  5. Step 5: Solve for x
    x = 3,360,231,056.25/43,131
  6. Step 6: Final answer
    x = 77,907.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.