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Finding the Third Proportional to 37,861 and 56,057

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Solution

The third proportional to 37,861 and 56,057 is: 82,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,861 : 56,057 = 56,057 : x
  2. Step 2: Convert to fraction form
    37,861/56,057 = 56,057/x
  3. Step 3: Cross multiply
    37,861x = 56,057 × 56,057
  4. Step 4: Simplify right side
    37,861x = 3,142,387,249
  5. Step 5: Solve for x
    x = 3,142,387,249/37,861
  6. Step 6: Final answer
    x = 82,998.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.