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Finding the Third Proportional to 49,848.38 and 76,620.25

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Solution

The third proportional to 49,848.38 and 76,620.25 is: 117,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,848.38 : 76,620.25 = 76,620.25 : x
  2. Step 2: Convert to fraction form
    49,848.38/76,620.25 = 76,620.25/x
  3. Step 3: Cross multiply
    49,848.38x = 76,620.25 × 76,620.25
  4. Step 4: Simplify right side
    49,848.38x = 5,870,662,710.06
  5. Step 5: Solve for x
    x = 5,870,662,710.06/49,848.38
  6. Step 6: Final answer
    x = 117,770.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.