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Finding the Third Proportional to 48,734 and 73,804

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Solution

The third proportional to 48,734 and 73,804 is: 111,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,734 : 73,804 = 73,804 : x
  2. Step 2: Convert to fraction form
    48,734/73,804 = 73,804/x
  3. Step 3: Cross multiply
    48,734x = 73,804 × 73,804
  4. Step 4: Simplify right side
    48,734x = 5,447,030,416
  5. Step 5: Solve for x
    x = 5,447,030,416/48,734
  6. Step 6: Final answer
    x = 111,770.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.