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Finding the Third Proportional to 43,398 and 58,050

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Solution

The third proportional to 43,398 and 58,050 is: 77,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,398 : 58,050 = 58,050 : x
  2. Step 2: Convert to fraction form
    43,398/58,050 = 58,050/x
  3. Step 3: Cross multiply
    43,398x = 58,050 × 58,050
  4. Step 4: Simplify right side
    43,398x = 3,369,802,500
  5. Step 5: Solve for x
    x = 3,369,802,500/43,398
  6. Step 6: Final answer
    x = 77,648.80

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.