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Finding the Third Proportional to 37,087 and 58,965

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Solution

The third proportional to 37,087 and 58,965 is: 93,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087 : 58,965 = 58,965 : x
  2. Step 2: Convert to fraction form
    37,087/58,965 = 58,965/x
  3. Step 3: Cross multiply
    37,087x = 58,965 × 58,965
  4. Step 4: Simplify right side
    37,087x = 3,476,871,225
  5. Step 5: Solve for x
    x = 3,476,871,225/37,087
  6. Step 6: Final answer
    x = 93,749.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.