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Finding the Third Proportional to 37,226 and 52,065

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Solution

The third proportional to 37,226 and 52,065 is: 72,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,226 : 52,065 = 52,065 : x
  2. Step 2: Convert to fraction form
    37,226/52,065 = 52,065/x
  3. Step 3: Cross multiply
    37,226x = 52,065 × 52,065
  4. Step 4: Simplify right side
    37,226x = 2,710,764,225
  5. Step 5: Solve for x
    x = 2,710,764,225/37,226
  6. Step 6: Final answer
    x = 72,819.11

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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.