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Finding the Third Proportional to 37,908 and 56,863

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Solution

The third proportional to 37,908 and 56,863 is: 85,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908 : 56,863 = 56,863 : x
  2. Step 2: Convert to fraction form
    37,908/56,863 = 56,863/x
  3. Step 3: Cross multiply
    37,908x = 56,863 × 56,863
  4. Step 4: Simplify right side
    37,908x = 3,233,400,769
  5. Step 5: Solve for x
    x = 3,233,400,769/37,908
  6. Step 6: Final answer
    x = 85,296.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.