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Finding the Third Proportional to 37,074 and 55,931

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Solution

The third proportional to 37,074 and 55,931 is: 84,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074 : 55,931 = 55,931 : x
  2. Step 2: Convert to fraction form
    37,074/55,931 = 55,931/x
  3. Step 3: Cross multiply
    37,074x = 55,931 × 55,931
  4. Step 4: Simplify right side
    37,074x = 3,128,276,761
  5. Step 5: Solve for x
    x = 3,128,276,761/37,074
  6. Step 6: Final answer
    x = 84,379.26

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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.