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Finding the Third Proportional to 48,595 and 73,909

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Solution

The third proportional to 48,595 and 73,909 is: 112,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,595 : 73,909 = 73,909 : x
  2. Step 2: Convert to fraction form
    48,595/73,909 = 73,909/x
  3. Step 3: Cross multiply
    48,595x = 73,909 × 73,909
  4. Step 4: Simplify right side
    48,595x = 5,462,540,281
  5. Step 5: Solve for x
    x = 5,462,540,281/48,595
  6. Step 6: Final answer
    x = 112,409.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.