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Finding the Third Proportional to 55,048.50 and 76,596

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Solution

The third proportional to 55,048.50 and 76,596 is: 106,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,048.50 : 76,596 = 76,596 : x
  2. Step 2: Convert to fraction form
    55,048.50/76,596 = 76,596/x
  3. Step 3: Cross multiply
    55,048.50x = 76,596 × 76,596
  4. Step 4: Simplify right side
    55,048.50x = 5,866,947,216
  5. Step 5: Solve for x
    x = 5,866,947,216/55,048.50
  6. Step 6: Final answer
    x = 106,577.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.