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Finding the Third Proportional to 48,371 and 74,745.50

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Solution

The third proportional to 48,371 and 74,745.50 is: 115,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,371 : 74,745.50 = 74,745.50 : x
  2. Step 2: Convert to fraction form
    48,371/74,745.50 = 74,745.50/x
  3. Step 3: Cross multiply
    48,371x = 74,745.50 × 74,745.50
  4. Step 4: Simplify right side
    48,371x = 5,586,889,770.25
  5. Step 5: Solve for x
    x = 5,586,889,770.25/48,371
  6. Step 6: Final answer
    x = 115,500.81

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Why These Related Problems?

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