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Finding the Third Proportional to 42,453 and 57,450

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Solution

The third proportional to 42,453 and 57,450 is: 77,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453 : 57,450 = 57,450 : x
  2. Step 2: Convert to fraction form
    42,453/57,450 = 57,450/x
  3. Step 3: Cross multiply
    42,453x = 57,450 × 57,450
  4. Step 4: Simplify right side
    42,453x = 3,300,502,500
  5. Step 5: Solve for x
    x = 3,300,502,500/42,453
  6. Step 6: Final answer
    x = 77,744.86

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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.