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Finding the Third Proportional to 38,796 and 58,914

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Solution

The third proportional to 38,796 and 58,914 is: 89,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,796 : 58,914 = 58,914 : x
  2. Step 2: Convert to fraction form
    38,796/58,914 = 58,914/x
  3. Step 3: Cross multiply
    38,796x = 58,914 × 58,914
  4. Step 4: Simplify right side
    38,796x = 3,470,859,396
  5. Step 5: Solve for x
    x = 3,470,859,396/38,796
  6. Step 6: Final answer
    x = 89,464.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.