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Finding the Third Proportional to 36,859.50 and 58,458

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Solution

The third proportional to 36,859.50 and 58,458 is: 92,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,859.50 : 58,458 = 58,458 : x
  2. Step 2: Convert to fraction form
    36,859.50/58,458 = 58,458/x
  3. Step 3: Cross multiply
    36,859.50x = 58,458 × 58,458
  4. Step 4: Simplify right side
    36,859.50x = 3,417,337,764
  5. Step 5: Solve for x
    x = 3,417,337,764/36,859.50
  6. Step 6: Final answer
    x = 92,712.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.