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Finding the Third Proportional to 37,210 and 55,935

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Solution

The third proportional to 37,210 and 55,935 is: 84,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210 : 55,935 = 55,935 : x
  2. Step 2: Convert to fraction form
    37,210/55,935 = 55,935/x
  3. Step 3: Cross multiply
    37,210x = 55,935 × 55,935
  4. Step 4: Simplify right side
    37,210x = 3,128,724,225
  5. Step 5: Solve for x
    x = 3,128,724,225/37,210
  6. Step 6: Final answer
    x = 84,082.89

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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.