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Finding the Third Proportional to 37,469 and 56,005

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Solution

The third proportional to 37,469 and 56,005 is: 83,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,469 : 56,005 = 56,005 : x
  2. Step 2: Convert to fraction form
    37,469/56,005 = 56,005/x
  3. Step 3: Cross multiply
    37,469x = 56,005 × 56,005
  4. Step 4: Simplify right side
    37,469x = 3,136,560,025
  5. Step 5: Solve for x
    x = 3,136,560,025/37,469
  6. Step 6: Final answer
    x = 83,710.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.