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Finding the Third Proportional to 37,234.13 and 52,084.69

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Solution

The third proportional to 37,234.13 and 52,084.69 is: 72,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,234.13 : 52,084.69 = 52,084.69 : x
  2. Step 2: Convert to fraction form
    37,234.13/52,084.69 = 52,084.69/x
  3. Step 3: Cross multiply
    37,234.13x = 52,084.69 × 52,084.69
  4. Step 4: Simplify right side
    37,234.13x = 2,712,814,671.97
  5. Step 5: Solve for x
    x = 2,712,814,671.97/37,234.13
  6. Step 6: Final answer
    x = 72,858.29

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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.