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Finding the Third Proportional to 48,879 and 73,541

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Solution

The third proportional to 48,879 and 73,541 is: 110,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,879 : 73,541 = 73,541 : x
  2. Step 2: Convert to fraction form
    48,879/73,541 = 73,541/x
  3. Step 3: Cross multiply
    48,879x = 73,541 × 73,541
  4. Step 4: Simplify right side
    48,879x = 5,408,278,681
  5. Step 5: Solve for x
    x = 5,408,278,681/48,879
  6. Step 6: Final answer
    x = 110,646.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.