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Finding the Third Proportional to 37,076 and 55,934

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Solution

The third proportional to 37,076 and 55,934 is: 84,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076 : 55,934 = 55,934 : x
  2. Step 2: Convert to fraction form
    37,076/55,934 = 55,934/x
  3. Step 3: Cross multiply
    37,076x = 55,934 × 55,934
  4. Step 4: Simplify right side
    37,076x = 3,128,612,356
  5. Step 5: Solve for x
    x = 3,128,612,356/37,076
  6. Step 6: Final answer
    x = 84,383.76

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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.