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Finding the Third Proportional to 37,238 and 52,088

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Solution

The third proportional to 37,238 and 52,088 is: 72,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238 : 52,088 = 52,088 : x
  2. Step 2: Convert to fraction form
    37,238/52,088 = 52,088/x
  3. Step 3: Cross multiply
    37,238x = 52,088 × 52,088
  4. Step 4: Simplify right side
    37,238x = 2,713,159,744
  5. Step 5: Solve for x
    x = 2,713,159,744/37,238
  6. Step 6: Final answer
    x = 72,859.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.