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Finding the Third Proportional to 39,826 and 58,984

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Solution

The third proportional to 39,826 and 58,984 is: 87,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,826 : 58,984 = 58,984 : x
  2. Step 2: Convert to fraction form
    39,826/58,984 = 58,984/x
  3. Step 3: Cross multiply
    39,826x = 58,984 × 58,984
  4. Step 4: Simplify right side
    39,826x = 3,479,112,256
  5. Step 5: Solve for x
    x = 3,479,112,256/39,826
  6. Step 6: Final answer
    x = 87,357.81

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