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Finding the Third Proportional to 49,035 and 76,063.50

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Solution

The third proportional to 49,035 and 76,063.50 is: 117,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,035 : 76,063.50 = 76,063.50 : x
  2. Step 2: Convert to fraction form
    49,035/76,063.50 = 76,063.50/x
  3. Step 3: Cross multiply
    49,035x = 76,063.50 × 76,063.50
  4. Step 4: Simplify right side
    49,035x = 5,785,656,032.25
  5. Step 5: Solve for x
    x = 5,785,656,032.25/49,035
  6. Step 6: Final answer
    x = 117,990.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.