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Finding the Third Proportional to 37,983 and 56,970

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Solution

The third proportional to 37,983 and 56,970 is: 85,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 56,970 = 56,970 : x
  2. Step 2: Convert to fraction form
    37,983/56,970 = 56,970/x
  3. Step 3: Cross multiply
    37,983x = 56,970 × 56,970
  4. Step 4: Simplify right side
    37,983x = 3,245,580,900
  5. Step 5: Solve for x
    x = 3,245,580,900/37,983
  6. Step 6: Final answer
    x = 85,448.25

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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.