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Finding the Third Proportional to 37,973 and 56,960

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Solution

The third proportional to 37,973 and 56,960 is: 85,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,973 : 56,960 = 56,960 : x
  2. Step 2: Convert to fraction form
    37,973/56,960 = 56,960/x
  3. Step 3: Cross multiply
    37,973x = 56,960 × 56,960
  4. Step 4: Simplify right side
    37,973x = 3,244,441,600
  5. Step 5: Solve for x
    x = 3,244,441,600/37,973
  6. Step 6: Final answer
    x = 85,440.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.