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Finding the Third Proportional to 57,672 and 73,690

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Solution

The third proportional to 57,672 and 73,690 is: 94,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672 : 73,690 = 73,690 : x
  2. Step 2: Convert to fraction form
    57,672/73,690 = 73,690/x
  3. Step 3: Cross multiply
    57,672x = 73,690 × 73,690
  4. Step 4: Simplify right side
    57,672x = 5,430,216,100
  5. Step 5: Solve for x
    x = 5,430,216,100/57,672
  6. Step 6: Final answer
    x = 94,156.89

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.