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Finding the Third Proportional to 37,092 and 55,968

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Solution

The third proportional to 37,092 and 55,968 is: 84,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,092 : 55,968 = 55,968 : x
  2. Step 2: Convert to fraction form
    37,092/55,968 = 55,968/x
  3. Step 3: Cross multiply
    37,092x = 55,968 × 55,968
  4. Step 4: Simplify right side
    37,092x = 3,132,417,024
  5. Step 5: Solve for x
    x = 3,132,417,024/37,092
  6. Step 6: Final answer
    x = 84,449.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.