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Finding the Third Proportional to 37,804 and 56,338

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Solution

The third proportional to 37,804 and 56,338 is: 83,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804 : 56,338 = 56,338 : x
  2. Step 2: Convert to fraction form
    37,804/56,338 = 56,338/x
  3. Step 3: Cross multiply
    37,804x = 56,338 × 56,338
  4. Step 4: Simplify right side
    37,804x = 3,173,970,244
  5. Step 5: Solve for x
    x = 3,173,970,244/37,804
  6. Step 6: Final answer
    x = 83,958.58

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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.